#1**0 **

You cannot factor it, and it has no real roots!!. However, it has "complex roots" as follows:

Solve for x:

x^2 + 3 x + 4 = 0

Subtract 4 from both sides:

x^2 + 3 x = -4

Add 9/4 to both sides:

x^2 + 3 x + 9/4 = -7/4

Write the left hand side as a square:

(x + 3/2)^2 = -7/4

Take the square root of both sides:

x + 3/2 = (i sqrt(7))/2 or x + 3/2 = -(i sqrt(7))/2

Subtract 3/2 from both sides:

x = (0 + i/2) sqrt(7) - 3/2 or x + 3/2 = -(i sqrt(7))/2

Subtract 3/2 from both sides:

**Answer: |x = (0 + i/2) sqrt(7) - 3/2 or x = (0 - i/2) sqrt(7) - 3/2**

Guest Mar 2, 2017