Question

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

Answer 1

`x=-8, -1`

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)}=(-9+-√(49 ) )/(2)=(-9+-7 )/(2)`

We have two different solutions for x where
`x=(-9-7 )/(2)` and
`x=(-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.