Question

What are the solutions of x2 + 5x - 24 = 0? Show all work for full credit.

Answer 1

you can factor that out...but if you can't just use quadratic formula \[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]

\[x = \frac{-(5) \pm \sqrt{5^2 - 4(1)(-24)}}{2(1)}\]

Answer 2

x-3
x+8

Answer 3

now if you simplify that... \[x = \frac{-5 \pm \sqrt{25 + 96}}{2}\]
\[x = \frac{-5 \pm \sqrt{121}}{2}\]
\[x = \frac{-5 \pm 11}{2}\]
\[x = \frac{-5 - 11}{2} ; x = \frac{-5 + 11}{2}\]

Answer 4

x^2 + 5x - 24 = 0
(x+8)(x-3) =0
x = -8 or x = 5

Answer 5

simplifying further...

\[x = \frac{-16}{2}; x = \frac{6}{2}\]

Answer 6

got it @ashking1