If the value of the discriminant of the quadr | vedclass

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(C) The given quadratic equation is $2x^{2} + 5x - k = 0$.Comparing this with the standard form $ax^{2} + bx + c = 0$,we get $a = 2$,$b = 5$,and $c =

Vedclass · Accepted Answer

$7$

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(C) The given quadratic equation is $2x^{2} + 5x - k = 0$.Comparing this with the standard form $ax^{2} + bx + c = 0$,we get $a = 2$,$b = 5$,and $c = -k$.The discriminant $D$ is given by the formula $D = b^{2} - 4ac$.Given that $D = 81$,we substitute the values:$81 = (5)^{2} - 4(2)(-k)$$81 = 25 + 8k$$81 - 25 = 8k$$56 = 8k$$k = \frac{56}{8} = 7$.Therefore,the value of $k$ is $7$.

If the value of the discriminant of the quadratic equation $2x^{2} + 5x - k = 0$ is $81$,then $k = \dots$

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