Question

Quadratic formula: show work please!!!!
9x^2+48x+64

Answer 1

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


\[\Large x = \frac{-(48)\pm\sqrt{(48)^2-4(9)(64)}}{2(9)}\]


\[\Large x = \frac{-48\pm\sqrt{2304-(2304)}}{18}\]


\[\Large x = \frac{-48\pm\sqrt{0}}{18}\]


\[\Large x = \frac{-48+\sqrt{0}}{18} \ \text{or} \ x = \frac{-48-\sqrt{0}}{18}\]


\[\Large x = \frac{-48+0}{18} \ \text{or} \ x = \frac{-48-0}{18}\]


\[\Large x = \frac{-48}{18} \ \text{or} \ x = \frac{-48}{18}\]


\[\Large x = \frac{-48}{18}\]


\[\Large x = -\frac{8}{3}\]


So the only solution is \[\Large x = -\frac{8}{3}\]

Answer 2

\[-b \pm \sqrt{b ^{2}-4ac}/2a\]

Answer 3

a=9; b=48; c=64... plug in & solve