#1**+1 **

Solve for x:

x^2 + 4 x + 13 = 0

Solve the quadratic equation by completing the square.

Subtract 13 from both sides:

x^2 + 4 x = -13

Take one half of the coefficient of x and square it, then add it to both sides.

Add 4 to both sides:

x^2 + 4 x + 4 = -9

Factor the left hand side.

Write the left-hand side as a square:

(x + 2)^2 = -9

Eliminate the exponent on the left-hand side.

Take the square root of both sides:

x + 2 = 3 i or x + 2 = -3 i

Look at the first equation: Solve for x.

Subtract 2 from both sides:

x = -2 + 3 i or x + 2 = -3 i

Look at the second equation: Solve for x.

Subtract 2 from both sides:

** x = -2 + 3i or x = -2 - 3i**

Guest Sep 16, 2018