The least value of k which makes the roots of the equation

$x^{2} + 5 x + k = 0$ imaginary is

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Solution

The correct option is D
7

The roots of the quadratic equation $x^{2} + 5 x + k = 0$ will be imaginary if its discriminant is less than zero.

$∴ 25 - 4 k < 0 \Rightarrow k > \frac{25}{4}$

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

Suggest Corrections

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