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The least integer k which makes the roots of the equation x^2 + 5x + k = 0 imaginary is

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The least integer k which makes the roots of the equation x2 + 5x + k = 0 imaginary is

(A) 4 

(B) 5 

(C) 6 

(D) 7

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1 Answer

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Best answer

Correct option (D) 7

Explanation:

x2 + 5x + k = 0 

D < 0 ⇒ 25 – 4k < 0 

⇒ – 4k < – 25 

⇒ k > 6.25 k = 7 least

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