Roots of quadratic equation $21 x = 196 - x^{2}$ are

- 28, 7

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- 28, - 7

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28, - 7

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None of these

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Solution

The correct option is D $- 28, 7$
$21 x = 196 - x^{2}$
$x^{2} + 21 x - 196 = 0$
$x^{2} + 28 x - 7 x - 196 = 0$
$(x + 28) (x - 7) = 0$
$x = 7, - 28$

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