If one of the roots of x^{2}-2x-c=0 is 5,the | vedclass

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(A) Let the roots of the quadratic equation $x^{2}-2x-c=0$ be $\alpha$ and $\beta$.Given that one root $\alpha = 5$.The sum of the roots of a quadrati

Vedclass · Accepted Answer

$-3$

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(A) Let the roots of the quadratic equation $x^{2}-2x-c=0$ be $\alpha$ and $\beta$.Given that one root $\alpha = 5$.The sum of the roots of a quadratic equation $ax^{2}+bx+c=0$ is given by $-\frac{b}{a}$.Here,$a = 1$,$b = -2$,and $c = -c$.Sum of roots $\alpha + \beta = -\frac{-2}{1} = 2$.Substituting $\alpha = 5$,we get $5 + \beta = 2$.Therefore,$\beta = 2 - 5 = -3$.Thus,the other root is $-3$.

If one of the roots of $x^{2}-2x-c=0$ is $5$,the other root is ...........

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