We have 5x2+3x+2=50⇒ x2+3x+2=0⇒ (x+1)(x+2)=0⇒ x=−1,-2Hence the solution set is {-1, -2}.

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$5^{x^{2} + 3 x + 2} = 1$

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{-1, -2}.

{1, -2}.

answer is B.

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Detailed Solution

We have

$\begin{array}{ll} 5^{x^{2} + 3 x + 2} = 5^{0} \\ \Rightarrow x^{2} + 3 x + 2 = 0 \\ \Rightarrow (x + 1) (x + 2) = 0 \\ \Rightarrow x = - 1, - 2 \end{array}$

Hence the solution set is {-1, -2}.

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