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=(-5\pm√(5²-4(1)(6)))/(2(1)) \\ \\ x=(-5\pm√(25-24))/(2) \\ \\ x=(-5\pm1)/(2) \\ \\ x_1=(-5-1)/(2)=-(6)/(2)=-3 \\ \\ x_2=(-5+1)/(2)=-(4)/(2)=-2 \end{gathered}`

Answers:

x = -2

x = -3