(C) Given the quadratic equation $x^{2} + 6x + k = 0$.Since $-4$ is a root of the equation,it must satisfy the equation.Substitute $x = -4$ into the e

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(C) Given the quadratic equation $x^{2} + 6x + k = 0$.Since $-4$ is a root of the equation,it must satisfy the equation.Substitute $x = -4$ into the equation:$(-4)^{2} + 6(-4) + k = 0$$16 - 24 + k = 0$$-8 + k = 0$$k = 8$Therefore,the value of $k$ is $8$.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

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What is the value of $k$ if one of the roots of the quadratic equation $x^{2} + 6x + k = 0$ is $-4$?

A
$20$
B
$40$
C
$8$
D
$-8$

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What is the value of $k$ if one of the roots of the quadratic equation $x^{2} + 6x + k = 0$ is $-4$?

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Solve the following equation using the quadratic formula,if the equation has a solution in $R$: $6x^{2}-5x-1=0$.

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Find the roots of the quadratic equation using the quadratic formula:
$x^{2}+2 \sqrt{2} x-6=0$