Question

Solve the equation

Answer 1

Answer: x = 1.32, -5.32

Step-by-step explanation:

When completing the square, we should add the c term to both sides to get $x^{2} + 4x = 7$. Then afterward, we would do $(\frac{b}{2a})^{2}$, using (ax^2+bx+c as the equation for a quadratic function), meaning that it would be (4/2)^2 = 4. Then add four to both sides with the equation being $x^{2} +4x + 4 = 11$. Since this a square, you can factor it as $(x+2)^{2}$ = 11. Then take the square roots on both sides, to get x+2=$\sqrt{11}$. Subtract two to both sides to get x=-2+_$\sqrt{11}$.

Plug $-2+\sqrt{11}$ and $-2- \sqrt{11}$ to get the answers.