CAT 2022 Linear and Quadratic Equations Question (Hard)

Question

The number of integer solutions of the equation is

Accepted Answer

Chapter Name Quadratic and other Equations Correct Answer The answer is 4 Step 1 We are given the equation This equals 1 in the following cases 1. Base is 1 2. Base is -1 and exponent is even and is even 3. Exponent is 0 , provided base 0 --- Case 1 Then not integer discard --- Case 2 Now check expo

CAT 2022

Quantitative

Linear and Quadratic Equations

Hard

The number of integer solutions of the equation $\left(x^2-10\right)^{\left(x^2-3 x-10\right)}=1$ is

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