Question

what are the solutions to the equation?

Answer 1

$\qquad\qquad\huge\underline{{\sf Answer}}♪$

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