SOLUTION: May I have some help with this expression? Find all solutions of the equation and express them in the form a + bi. x^2 + 12x + 37 = 0

Question 120458: May I have some help with this expression?
Find all solutions of the equation and express them in the form a + bi.
x^2 + 12x + 37 = 0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=1, b=12, and c=37

Square 12 to get 144

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 1 to get 2

After simplifying, the quadratic has roots of

or

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