The quadratic equation of variable x having r | vedclass

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Question

(D) quadratic equation with roots $\alpha$ and $\beta$ is given by the formula: $x^{2} - (\alpha + \beta)x + (\alpha \cdot \beta) = 0$.Here,the roots

Vedclass · Accepted Answer

$x^{2}=64$

Vedclass · Answer

(D) quadratic equation with roots $\alpha$ and $\beta$ is given by the formula: $x^{2} - (\alpha + \beta)x + (\alpha \cdot \beta) = 0$.Here,the roots are $\alpha = -8$ and $\beta = 8$.Sum of the roots: $\alpha + \beta = -8 + 8 = 0$.Product of the roots: $\alpha \cdot \beta = (-8) 	imes (8) = -64$.Substituting these values into the formula:$x^{2} - (0)x + (-64) = 0$$x^{2} - 64 = 0$$x^{2} = 64$.Thus,the correct option is $D$.

The quadratic equation of variable $x$ having roots $-8$ and $8$ is $\ldots \ldots \ldots \ldots .$

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