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Q.

Sum of the values of x satisfying the equation $|x^{2} + 4 x + 3| + 2 x + 5 = 0$ is

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answer is -6.73.

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Detailed Solution

$\begin{array}{l} x^{2} + 4 x + 3 \geq 0 \Rightarrow x^{2} + 6 x + 8 = 0 \\ \Rightarrow x = - 2 or - 4 but x \neq - 4 \\ x^{2} + 4 x + 3 \leq 0 \Rightarrow x^{2} + 2 x - 2 = 0 \\ x = - 1 \pm \sqrt{3} but x \neq - 1 + \sqrt{3} sum = - 5 - \sqrt{3} \end{array}$

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