(D) For the roots of the quadratic equation $ax^2 + bx + c = 0$ to be imaginary,the discriminant $D$ must be less than $0$.$D = b^2 - 4ac < 0$Here,$a

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(D) For the roots of the quadratic equation $ax^2 + bx + c = 0$ to be imaginary,the discriminant $D$ must be less than $0$.$D = b^2 - 4ac Here,$a = 1$,$b = 5$,and $c = k$.Substituting these values,we get $5^2 - 4(1)(k) $25 - 4k $4k > 25$$k > \frac{25}{4}$$k > 6.25$The least integer $k$ greater than $6.25$ is $7$.

Class 11 Mathematics 4-2.Quadratic Equations and Inequations Solution of quadratic equations and Nature of roots

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

A
$4$
B
$5$
C
$6$
D
$7$

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4-2.Quadratic Equations and Inequations

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Solution of quadratic equations and Nature of roots

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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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