The quadratic equation is required to have two distinct positive real roots

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The quadratic equation x2−2(k−2)x+(k+3)=0x^{2}-2(k-2)x+(k+3)=0 is required to have two distinct positive real roots. What is the least integer value of kk that satisfies this condition? (a) 44 (b) 66 (c) 55 (d) 33

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