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Quantitative Aptitude

Quadratic Equations

Find the valu...

Question

Find the value of k so that sum of the squares of roots of equation $x^{2} - 8 x + k = 0$ is 30.

A

12

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B

14

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C

16

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D

17

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Solution

The correct option is D 17
Let the roots be a,b.

$a b = k, a + b = 8$

$a^{2} + b^{2} = 30$

$(a + b)^{2} = 64, a^{2} + b^{2} + 2 a b = 64$

$30 + 2 k = 64, k = 17$

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