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Roots of a Quadratic Equation

The quadratic...

Question

The quadratic equation whose roots are $- 4$ and $6$ is

x^{2} + 2 x + 24 = 0

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x^{2} - 4 x + 6 = 0

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x^{2} - 2 x - 24 = 0

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None of these

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Solution

The correct option is C $x^{2} - 2 x - 24 = 0$
The equation can be written as
$(x - (- 4)) (x - 6) = 0$
$(x + 4) (x - 6) = 0$
$x^{2} - 2 x - 24 = 0$ .

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