CAT 2023 Linear and Quadratic Equations Question (Medium)

Question

The number of integer solutions of the equation 2 x x 2 1 5x 2 is

Accepted Answer

Step 1 We are given the equation Let , so Then the equation becomes Step 2 Simplify the equation Bring all terms to one side Factor Now solve Either or Use factorization So , , or Step 3 Recall , so possible values of are , , We are looking for integer solutions only. So valid values of are , , Fina

CAT 2023

Quantitative

Linear and Quadratic Equations

Medium

The number of integer solutions of the equation
$2|x|(x^2 + 1) = 5x^2$
is:

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