Solve for x in the equation x² + 14x + 17 = - 96

Solutions of x are;

x = -7 + 8i and x = -7 -8i

Step-by-step explanation:

Given the equation:

Add 96 both sides we get;

Using quadratic formula then the solution is given by:

On comparing we have;

a= 1,  b =14 and c =113

or

Simplify:

;  where i is the imaginary,

or

Therefore,  the solution of x are;  x = -7 + 8i and x = -7 -8i

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!