Question

Solve 0=4x^2+12x+9 using the quadratic formula.

Answer 1

The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}$.  With the values from this equation plugged in, it looks like this:

$x = \frac{-12 \pm \sqrt{12^2 - 4(4)(9)} }{2(4)} \\ \\ x = \frac{-12 \pm \sqrt{144 - 144} }{8} \\ \\ x = \frac{-12}{8} \\ \\ x = - \frac{3}{2}$

The solution is x = - 3/2