CAT 2020 Linear and Quadratic Equations Question (Medium)

Question

The number of distinct real roots of the equation x 2 - 3 x 2 0 equals

Accepted Answer

Here s the full step-wise solution --- Step 1. Substitution Let y x x , quad x neq 0 The given equation is left x x right 2 - 3 left x x right 2 0 So it becomes y 2 - 3y 2 0 --- Step 2. Solve quadratic in y 2 - 3y 2 0 quad Rightarrow quad y-1 y-2 0 So, y 1 quad quad y 2 --- Step 3. Check validity of

CAT 2020

Quantitative

Linear and Quadratic Equations

Medium

The number of distinct real roots of the equation (x + $\frac{1}{x}$ ) 2 - 3(x + $\frac{1}{x}$ ) + 2 = 0 equals

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