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Solving a Quadratic Equation by Factorization Method

Roots of quad...

Question

Roots of quadratic equation $x^{2} - 17 x + 60 = 0$ is

- 12, - 5

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- 12, 5

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12, - 5

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12, 5

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Solution

The correct option is C $12, 5$
The given equation is
$x^{2} - 17 x + 60 = 0$
$x^{2} - 12 x - 5 x + 60 = 0$
$(x - 12) (x - 5) = 0$
$∴ x = 5, 12$
$∴$ roots of the given equation are $5, 12$

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