Question

Use the formula to solve the equation x^2 + 9x + 8 = 0.

Answer 1

Answer:

$x=-8, -1$

Step-by-step explanation:

Given the equation $x^{2} +9x+8=0$,

By the quadratic formula,

$x=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}$,

$x=\frac{-(9)+-\sqrt{(9)^{2}-4(1)(8) } }{2(1)}=\frac{-9+-\sqrt{49 } }{2}=\frac{-9+-7 }{2}$

We have two different solutions for x where $x=\frac{-9-7 }{2}$ and $x=\frac{-9+7 }{2}$

So, x = $-16/2=-8$ and $x=-2/2=-1$

Therefore, the solutions to this quadratic equation is x = -8, -1, by the quadratic formula.