Question

Solve for g(x)=-4Using the function g as defined in the given equation

Answer 1

We need to solve the equation:

$x^2+5x+2=-4$

Adding 4 to both sides of the equation, we obtain:

$\begin{gathered} x^2+5x+2+4=-4+4 \\ \\ x^2+5x+6=0 \end{gathered}$

Now, using the quadratic formula, we obtain:

$\begin{gathered} x=\frac{-5\pm\sqrt{5²-4(1)(6)}}{2(1)} \\ \\ x=\frac{-5\pm\sqrt{25-24}}{2} \\ \\ x=\frac{-5\pm1}{2} \\ \\ x_1=\frac{-5-1}{2}=-\frac{6}{2}=-3 \\ \\ x_2=\frac{-5+1}{2}=-\frac{4}{2}=-2 \end{gathered}$

Answers:

x = -2

x = -3