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What are the solutions to the equation?

What are the solutions to the equation?-example-1
User Timop
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\qquad\qquad\huge\underline{{\sf Answer}}♪

Let's solve ~


\qquad \sf  \dashrightarrow \:f(x) = g(x)


\qquad \sf  \dashrightarrow \:x + 2 = - {x}^(2) + 4


\qquad \sf  \dashrightarrow \: {x}^(2) + x + 2 - 4 = 0


\qquad \sf  \dashrightarrow \: {x}^(2) + x - 2 = 0


\qquad \sf  \dashrightarrow \: {x}^(2) + 2x - x - 2 = 0


\qquad \sf  \dashrightarrow \:x(x + 2) - (x + 2) = 0


\qquad \sf  \dashrightarrow \:(x + 2)(x - 1) = 0

Hence, x = -2 or x = 1

User Snostorp
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