The correct option is A 10, 4 Consider the given equation. #10; #10; x^2 6x 40=0 #10; #10; x^2 10x+4x 40=0 #10; #10; x( x 10 )+4 ...

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Roots of Quadratic Equation

Find x : x...

Question

Find $x$ :
$x^{2} - 6 x - 40 = 0$

10, - 4

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- 10, - 4

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10, 4

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0, - 4

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Solution

The correct option is A $10, - 4$
Consider the given equation.

$x^{2} - 6 x - 40 = 0$

$x^{2} - 10 x + 4 x - 40 = 0$

$x (x - 10) + 4 (x - 10) = 0$

$(x + 4) (x - 10) = 0$

$x - 10 = 0 \Rightarrow x = 10$

$x + 4 = 0 \Rightarrow x = - 4$

Hence, the values of $x$ are $10, - 4$ .

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