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Find the positive values of k for which quadratic equations 𝐱^𝟐+𝐤𝐱+𝟔𝟒=𝟎 and 𝐱^𝟐−𝟖𝐱+𝐤=𝟎 both.....Q241
Class - X Chapter – 4 QUADRATIC EQUATIONS
Q241: Find the positive values of k for which quadratic equations x^2+kx+64=0 and x^2-8x+k=0 both will have the real roots.
Previous Videos related to this chapter are mentioned in the below links:
Q377: A plane left 30 minutes late then its scheduled time and in order to reach of destination 1500 km away in time, it had to increase its speed by 100 km/h from the usual speed. Find its usual speed. https://youtu.be/uQurkZAyP5w
Q381: In a flight of 2800 km, an aircraft was slowed down due to bad weather. Its average speed is reduced by 100 km/h and by doing so, the time of flight is increased by 30 min. Find the original duration of the flight. https://youtu.be/IX-5T5GTqv8
Q382: The time taken by a person to cover 150 km was 2 1/2 hours more than the time taken in return journey. If he returned at a speed of 10 km/h more than the speed while going, find the speed in km/h in each direction https://youtu.be/RZwcvjtWmFQ
Q384: An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km/h more than that of the passenger train, find the average speed of the two trains. https://youtu.be/VKprh9sdpv8
Q387: The speed of a boat in still water is 15 km/hr. It can go 30 km upstream and return downstream to the original point in 4 hours 30 minutes. Find the speed of the stream. https://youtu.be/SfL7yqTVgrs
Q388: Swati can row her boat at a speed of 5 km/hr in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream. https://youtu.be/qWsAlTXrvTA
Q390: Two water taps together can fill a tank in 9 3/8 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank. https://youtu.be/glGdRLZmVcA
Q396: A takes 6 days less than the time taken by B to finish a piece of work. If both A and B together can finish it in 4 days, find the time taken by B to finish the work. https://youtu.be/uMfRr5AFJzg
Q57: If x=2 and x=3 are roots of the equation 3x^2-2kx+2m=0, find the value of k and m. https://youtu.be/heFNMuuUSMw
Q58: Determine, if 3 is a root of the equation given below: √(x^2-4x+3) + √(x^2-9) = √(〖4x〗^2-14x+16) https://youtu.be/PUeSbZCx2yo
Q79: Find the roots of the √3 x^2-2√2 x-2√3=0 by factorization https://youtu.be/xsyzQ6VyRHQ
Q88: Solve: √(2x+9)+x=13 https://youtu.be/Jesu5WEdZ4c
Q89: Find the positive root of √(3x^2+6)=9. https://youtu.be/1J9eQOYlRYY
Q117: Find the roots of 3((7x+1)/(5x-3))-4((5x-3)/(7x+1))=11; x ≠ 3/5, – 1/7 by factorization https://youtu.be/hbWv1DWGVrU
Q118: Find the roots of x^2-2ax+a^2-b^2=0 by factorization https://youtu.be/wl79rE0-yJk
Q119: Find the roots of x^2-4ax+4a^2-b^2=0 by factorization https://youtu.be/8eC4sQSSg0k
Q122: Find the roots of x^2-4a^2 x+(a^4-b^4 )=0 by factorization https://youtu.be/En2Brwu-00o
Q127: Find the roots of x2 + 3x – (a2 + a – 2) = 0 by factorization https://youtu.be/nLRQGWcpxoc
Q159: Write the discriminant of the 〖(x+5)〗^2=2(5x-3) https://youtu.be/62hQr3QY8Qw
Q179: Determine whether 1/x-1/(x-2)=3,x≠0,2 have real roots and if so, find the roots https://youtu.be/HfkW_Hnj1aU
Q184: Using quadratic formula solve the following quadratic equations: p2x2 + (p2 – q2) x – q2 = 0, p ≠ 0 https://youtu.be/NzmWLHHMACE
Q197: Find the nature of roots of the quadratic equation 2x^2-4x+3=0. https://youtu.be/fTQrbjHRt50
Q215: Find value of k for which 9x2 + 6kx + 4 = 0 has real and equal roots https://youtu.be/l_1kgo4SEU0
Q219: Find value of k for which x^2+5kx+16=0 has real and equal roots https://youtu.be/9dPQRkyELAQ
Q220: Find value of k for which kx^2-5x+k=0 has real and equal roots https://youtu.be/9O_0LiqS-vg
Q226: Find k so that the quadratic equation (k + 1)x2 – 2(k + 1) x + 1 = 0 has equal roots. https://youtu.be/YoI6yVFv9IM
Q231: Find the values(s) of k for which the quadratic equation x^2+2√2 kx+18=0 has real roots. https://youtu.be/4qSnqRvjdjs
SOLUTION OF QUADRATIC EQUATION USING QUADRATIC FORMULA/ DISCRIMINANT FORMULA https://youtu.be/YrlwF4VVrk4
#CBSE #ICSE #Boards #8th #9th #10th #Foundation #Competition #IIT #JEE #Advanced #Mains #NTSE #Olympiads #Exams #Examination #Achiever #Topper #Zenith #ZenithInstituteOfMathematics #InderSir #Ludhiana #ModelGram #BestMathsCoaching #BestTutorials #BestTuition #BestInLudhiana #MathTricks #VIII #IX #X #XI #XII #Important #Excellent #Question #Mensuration #SurfaceAreas&Volumes #Area #Volume #CSA #TSA #Circles #Tangents #Chord #SemiCircle #Radius #Theorems #QuadraticEquations
Видео Find the positive values of k for which quadratic equations 𝐱^𝟐+𝐤𝐱+𝟔𝟒=𝟎 and 𝐱^𝟐−𝟖𝐱+𝐤=𝟎 both.....Q241 канала Zenith Institute of Mathematics
Q241: Find the positive values of k for which quadratic equations x^2+kx+64=0 and x^2-8x+k=0 both will have the real roots.
Previous Videos related to this chapter are mentioned in the below links:
Q377: A plane left 30 minutes late then its scheduled time and in order to reach of destination 1500 km away in time, it had to increase its speed by 100 km/h from the usual speed. Find its usual speed. https://youtu.be/uQurkZAyP5w
Q381: In a flight of 2800 km, an aircraft was slowed down due to bad weather. Its average speed is reduced by 100 km/h and by doing so, the time of flight is increased by 30 min. Find the original duration of the flight. https://youtu.be/IX-5T5GTqv8
Q382: The time taken by a person to cover 150 km was 2 1/2 hours more than the time taken in return journey. If he returned at a speed of 10 km/h more than the speed while going, find the speed in km/h in each direction https://youtu.be/RZwcvjtWmFQ
Q384: An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km/h more than that of the passenger train, find the average speed of the two trains. https://youtu.be/VKprh9sdpv8
Q387: The speed of a boat in still water is 15 km/hr. It can go 30 km upstream and return downstream to the original point in 4 hours 30 minutes. Find the speed of the stream. https://youtu.be/SfL7yqTVgrs
Q388: Swati can row her boat at a speed of 5 km/hr in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream. https://youtu.be/qWsAlTXrvTA
Q390: Two water taps together can fill a tank in 9 3/8 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank. https://youtu.be/glGdRLZmVcA
Q396: A takes 6 days less than the time taken by B to finish a piece of work. If both A and B together can finish it in 4 days, find the time taken by B to finish the work. https://youtu.be/uMfRr5AFJzg
Q57: If x=2 and x=3 are roots of the equation 3x^2-2kx+2m=0, find the value of k and m. https://youtu.be/heFNMuuUSMw
Q58: Determine, if 3 is a root of the equation given below: √(x^2-4x+3) + √(x^2-9) = √(〖4x〗^2-14x+16) https://youtu.be/PUeSbZCx2yo
Q79: Find the roots of the √3 x^2-2√2 x-2√3=0 by factorization https://youtu.be/xsyzQ6VyRHQ
Q88: Solve: √(2x+9)+x=13 https://youtu.be/Jesu5WEdZ4c
Q89: Find the positive root of √(3x^2+6)=9. https://youtu.be/1J9eQOYlRYY
Q117: Find the roots of 3((7x+1)/(5x-3))-4((5x-3)/(7x+1))=11; x ≠ 3/5, – 1/7 by factorization https://youtu.be/hbWv1DWGVrU
Q118: Find the roots of x^2-2ax+a^2-b^2=0 by factorization https://youtu.be/wl79rE0-yJk
Q119: Find the roots of x^2-4ax+4a^2-b^2=0 by factorization https://youtu.be/8eC4sQSSg0k
Q122: Find the roots of x^2-4a^2 x+(a^4-b^4 )=0 by factorization https://youtu.be/En2Brwu-00o
Q127: Find the roots of x2 + 3x – (a2 + a – 2) = 0 by factorization https://youtu.be/nLRQGWcpxoc
Q159: Write the discriminant of the 〖(x+5)〗^2=2(5x-3) https://youtu.be/62hQr3QY8Qw
Q179: Determine whether 1/x-1/(x-2)=3,x≠0,2 have real roots and if so, find the roots https://youtu.be/HfkW_Hnj1aU
Q184: Using quadratic formula solve the following quadratic equations: p2x2 + (p2 – q2) x – q2 = 0, p ≠ 0 https://youtu.be/NzmWLHHMACE
Q197: Find the nature of roots of the quadratic equation 2x^2-4x+3=0. https://youtu.be/fTQrbjHRt50
Q215: Find value of k for which 9x2 + 6kx + 4 = 0 has real and equal roots https://youtu.be/l_1kgo4SEU0
Q219: Find value of k for which x^2+5kx+16=0 has real and equal roots https://youtu.be/9dPQRkyELAQ
Q220: Find value of k for which kx^2-5x+k=0 has real and equal roots https://youtu.be/9O_0LiqS-vg
Q226: Find k so that the quadratic equation (k + 1)x2 – 2(k + 1) x + 1 = 0 has equal roots. https://youtu.be/YoI6yVFv9IM
Q231: Find the values(s) of k for which the quadratic equation x^2+2√2 kx+18=0 has real roots. https://youtu.be/4qSnqRvjdjs
SOLUTION OF QUADRATIC EQUATION USING QUADRATIC FORMULA/ DISCRIMINANT FORMULA https://youtu.be/YrlwF4VVrk4
#CBSE #ICSE #Boards #8th #9th #10th #Foundation #Competition #IIT #JEE #Advanced #Mains #NTSE #Olympiads #Exams #Examination #Achiever #Topper #Zenith #ZenithInstituteOfMathematics #InderSir #Ludhiana #ModelGram #BestMathsCoaching #BestTutorials #BestTuition #BestInLudhiana #MathTricks #VIII #IX #X #XI #XII #Important #Excellent #Question #Mensuration #SurfaceAreas&Volumes #Area #Volume #CSA #TSA #Circles #Tangents #Chord #SemiCircle #Radius #Theorems #QuadraticEquations
Видео Find the positive values of k for which quadratic equations 𝐱^𝟐+𝐤𝐱+𝟔𝟒=𝟎 and 𝐱^𝟐−𝟖𝐱+𝐤=𝟎 both.....Q241 канала Zenith Institute of Mathematics
CBSE ICSE Boards 8th 9th 10th Foundation Competition IIT JEE Advanced Mains NTSE Olympiads Exams Examination Achiever Topper Zenith ZenithInstituteOfMathematics InderSir Ludhiana ModelGram BestMathsCoaching BestTutorials BestTuition BestInLudhiana MathTricks VIII IX XI XII Important Excellent Question Mensuration SurfaceAreas&Volumes Area Volume CSA TSA Circles Tangents Chord SemiCircle Radius Theorems QuadraticEquations Degree2 Polynomials SplittingTheMiddleTerm
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11 мая 2026 г. 17:18:41
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