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Graph of Quadratic Expression

If a and b ar...

Question

If a and b are the roots of the equation $x^{2} - 6 x + 6 = 0$ , then the value of $a^{2} + b^{2}$ is

36

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24

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12

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6

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Solution

The correct option is B $24$
$a + b = 6$ & $a b = 6$
As $(a^{2} + b^{2}) = (a + b)^{2} - 2 a b = 36 - 12 = 24$

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