99 Percentile Qs Bank for JEE MainMathematicsQuadratic Equation

If x-4 x^2-5 x-2 k = 2 x-2 - 1 x+k^ , then k is equal to

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Correct answer

A. -3

Step-by-step solution

We have, aligned x-4 x^2-5 x-2 k & = 2 x-2 - 1 x+k x-4 x^2-5 x-2 k & = 2(x+k)-(x-2) (x-2)(x+k) & = x+2 k+2 (x-2)(x+k) aligned On equating, we get aligned -4 & =2 k+2 2 k & =-6 k=-3 aligned

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