The quadratic equation depends on the real parameter .

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The quadratic equation 2x2+kx+6=02x^2+kx+6=0 depends on the real parameter kk. (i) Find the value(s) of kk for which the equation has equal real roots. (ii) Taking the positive value of kk obtained in part (i), determine the root(s) of the equation. (iii) Using the root(s) found in part (ii), evaluate 5x2−4x5x^2-4x.

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