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Solving a Quadratic Equation by Factorization Method

What values o...

Question

What values of $x$ satisfy the given equation
$x^{2} - 3 x - 10 = 0$ ?

A

-2 and -6

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B

10 and 5

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C

5 and -2

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D

7 and 6

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Solution

The correct option is C
5 and -2

Given, $x^{2} - 3 x - 10 = 0$

Values satisfying the equation are roots.
$x^{2} - 5 x + 2 x - 10 = 0 (x - 5) (x + 2) = 0 x = 5 & - 2$

The values satisfying the equation are $5$ and $- 2$

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