Question

Solve x² + 9x + 9 = 0.

0-9±3√5
2
9±3√5
2
O-9± √117
2
9± √117
2

Answer 1

Answer: (-9 ± 3√5) / 2

Explanation:

Since our equation is in the form of ax² + bx + c = 0, we'll use the quadratic formula to solve the equation, plugging our values in:

(-9 ± √9²-4(1)(9)) / 2(1)
(-9 ± √81 - 36) / 2
(-9 ± √45) / 2

Here, we can simplify √45 by finding pairs of factors that equal 45, and have one of the factors be able to be square rooted:
(-9 ± √9·√5) / 2
(-9 ± 3√5) / 2

I hope this helps! :)