If the roots of the equation $x^{2} + a x + b = 0$ are c & d, then one of the roots of equation $x^{2}$ + (2c + a)x + $c^{2}$ + ac + b = 0 is

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d-c

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Solution

The correct option is B
d-c

$x^{2}$ + (2c + a) x + $c^{2}$ + ac + b = 0 $\Rightarrow$ $x^{2}$ + (2c + a) x = 0

$\Rightarrow$ x = -2c - a = -2c + c + d = d - c.

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