Form the quadratic equation if its roots are:
$5$ and $- 7$

x^{2} + 2 x - 35 = 0

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x^{2} + x - 35 = 0

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x^{2} + 3 x - 35 = 0

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x^{2} + 4 x - 35 = 0

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Solution

The correct option is B $x^{2} + 2 x - 35 = 0$
The equation whose roots are 5 and -7 are
$(x - 5) (x + 7) = 0$
$\Rightarrow x^{2} + 7 x - 5 x - 35 = 0$
$\Rightarrow x^{2} + 2 x - 35 = 0$

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x^{2} - 4 x + 5 = 0

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x^{2} - 3 x + 5 = 0

(α^{2} - 3 α + 7) and (β^{2} - 3 β + 7)

x^{2} + 12 x + 35 = 0

α

β

x^{2} - 12 x + 35 = 0

2 (\begin{matrix} \frac{α}{β} + \frac{β}{α} \end{matrix}) :

x^{2} - 12 x + 35 = 0

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