SOLUTION: Good morning! Today I will have a test and I am in trouble with this problem. I appreciate your help! Topic: Solving Quadratic Equation by extracting square roots: completing the s

Algebra ->  Radicals -> SOLUTION: Good morning! Today I will have a test and I am in trouble with this problem. I appreciate your help! Topic: Solving Quadratic Equation by extracting square roots: completing the s      Log On


   

Question 1073569: Good morning! Today I will have a test and I am in trouble with this problem. I appreciate your help! Topic: Solving Quadratic Equation by extracting square roots: completing the square.
Have a wonderful day!

x^2-3x+39= 0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square,
x%5E2-3x%2B39=0
%28x%5E2-3x%2B%283%2F2%29%5E2%29%2B39=%283%2F2%29%5E2
%28x-3%2F2%29%5E2%2B39=9%2F4
%28x-3%2F2%29%5E2=9%2F4-39
%28x-3%2F2%29%5E2=9%2F4-156%2F4
%28x-3%2F2%29%5E2=-147%2F4
x-3%2F2=0+%2B-+%28sqrt%28147%29%2F2%29i
x=3%2F2+%2B-+%28sqrt%28147%29%2F2%29i
x=%283+%2B-+sqrt%28147%29i%29%2F2%29i