Question

Solve for x. 0 = x^2 + 5x + 8

A.
B.
C.
D.

Answer 1

`\bold{x = (-5 \± i\sqrt7)/(2)}`

Explanation:

x^2 + 5x + 8=0

Comparing with ax^2+bx+c=0

we get a = 1, b = 5, and c = 8.

Using the quadratic formula, we have:

`x = (-b \± √((b^2- 4ac)))/( 2a)`

Substituting these values, we get:

`x =( -5 \± √(5^2 - 4*1*8))/(2*1)`

`x = (-5 \± √(25 - 32))/( 2)`

`x = (-5 \± √(-7))/( 2)`

`x = (-5 \± i\sqrt7)/(2)`

Therefore, the solutions are:
`x = (-5 \± i\sqrt7)/(2)`