If one of the roots of x^{2} + bx - 12 = 0 is | vedclass

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(B) For a quadratic equation of the form $ax^{2} + bx + c = 0$,the product of the roots is given by $\frac{c}{a}$.Here,the equation is $x^{2} + bx - 1

Vedclass · Accepted Answer

$-6$

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(B) For a quadratic equation of the form $ax^{2} + bx + c = 0$,the product of the roots is given by $\frac{c}{a}$.Here,the equation is $x^{2} + bx - 12 = 0$,where $a = 1$ and $c = -12$.Let the roots be $\alpha$ and $\beta$. We are given $\alpha = 2$.The product of the roots $\alpha \cdot \beta = \frac{c}{a} = \frac{-12}{1} = -12$.Substituting the value of $\alpha$:$2 \cdot \beta = -12$.$\beta = \frac{-12}{2} = -6$.Thus,the other root is $-6$.

If one of the roots of $x^{2} + bx - 12 = 0$ is $2$,the other root is ............

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