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Question

The least value of 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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Solution

(d) 7

The roots of the quadratic equation x2+5x+k=0 will be imaginary if its discriminant is less than zero.

25-4k<0k>254

Thus, the minimum integral value of k for which the roots are imaginary is 7.

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