CAT 2017 Linear and Quadratic Equations Question (Medium)

Question

If and , then is

Accepted Answer

Step 1 Start with the given equation x 1 x 2, quad x 0 --- Step 2 Rearrange to form a quadratic equation x 2 - x - 1 0 Complete the square x 2 - x 4 1 4 left x - 2 right 2 4 Taking square roots x - 2 pm 2 So, x 2 pm 2 Since , x 2 --- Step 3 Express using the original relation Square both sides x 1 2

CAT 2017

Quantitative

Linear and Quadratic Equations

Medium

If $x + 1 = x^2$ and $x > 0$ , then $2x^4$ is:

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