Question

Which of the following are solutions to the equation below? x2 + 6x + 9 =6

Answer 1

The correct answer would be 3 +/- $\sqrt{6}$

In order to solve for this you must first get the equation equal to 0. 

x^2 + 6x + 9 - 6 ----> simplify like terms
x^2 + 6x + 3

Now knowing this we can use the coefficients of each one in descending order of power as a, b and c. 

a = 1 (because it is the coefficient to x^2)
b = 6 (because it is the coefficient to x)
c = 3 (because it is the end number)

Now we can plug these values into the quadratic equation. 

$\frac{-b +/- \sqrt{b^{2} - 4ac } }{2a}$

$\frac{-6 +/- \sqrt{6^{2} - 4(1)(3) } }{2(1)}$

3 +/- $\sqrt{6}$

And those would be your two answers.