CAT 2019 Linear and Quadratic Equations Question (Medium)

Question

The product of the distinct roots of is

Accepted Answer

Step-by-step solution --- Step 1 Given equation x 2 - x - 6 x 2 We need product of distinct roots. --- Step 2 Factorize expression inside modulus x 2 - x - 6 x-3 x 2 --- Step 3 Break into two cases based on modulus Case 1 Equation Case 2 Equation --- Step 4 Solve Case 1 Condition Factors or Equation

CAT 2019

Quantitative

Linear and Quadratic Equations

Medium

The product of the distinct roots of $|x^2 - x - 6| = x + 2.$ is

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