Question

Solve x^2 + 9x + 9 = 0?

Answer 1

You will need to use the quadratic formula for this one

Answer 2

\[x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]

Answer 3

irrational roots...

Answer 4

x^2+9x+81/4=-9-81/4
(x+9/2)^2=-117/4
x+9/2=+/_sqrt-117/2
the roots are imaginary

Answer 5

x^2+9 x+9 = 0
Subtract 9 from both sides:
x^2+9 x = -9
Add 81/4 to both sides:
x^2+9 x+81/4 = 45/4
Factor the left hand side:
(x+9/2)^2 = 45/4
Take the square root of both sides:
sqrt(x+9/2)^2 = (3 sqrt(5))/2
Eliminate the absolute value:
x+9/2 = -(3 sqrt(5))/2 or x+9/2 = (3 sqrt(5))/2
Subtract 9/2 from both sides:
x = -3/2 (3+sqrt(5)) or x+9/2 = (3 sqrt(5))/2
Subtract 9/2 from both sides:
x = -3/2 (3+sqrt(5)) or x = 3/2 (-3+sqrt(5))