CAT 2019 Linear and Quadratic Equations Question (Medium)

Question

The number of solutions of the equation is

Accepted Answer

Step 1 We are given We will split this based on the definition of absolute value. --- Case 1 Then Equation becomes Simplify Bring all terms to one side Factor So or Solve quadratic Thus So in , solutions --- Case 2 Then Equation Simplify Or Factor So or But since , is invalid here. Solve quadratic S

CAT 2019

Quantitative

Linear and Quadratic Equations

Medium

The number of solutions of the equation $|x|(6x^2 + 1) = 5x^2$ is

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