x^(x+1) = x⁴ 😱 | Number of Solutions Trick | JEE Maths Short

Solve the equation:
👉 x^(x+1) = x⁴

First, rewrite:
x^(x+1) = x⁴
⇒ x^(x+1−4) = 1
⇒ x^(x−3) = 1

Now use cases:

1️⃣ x = 1 ⇒ satisfies
2️⃣ x = 0 ⇒ not valid (0⁰ undefined)
3️⃣ x = -1 ⇒ (-1)^(-4) = 1 ✔️
4️⃣ x^(x−3) = 1 ⇒ exponent = 0
⇒ x − 3 = 0 ⇒ x = 3 ✔️

So solutions are:
👉 x = 1, -1, 3

✅ Total number of solutions = 3

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Видео x^(x+1) = x⁴ 😱 | Number of Solutions Trick | JEE Maths Short канала Gaurav Sir