SOLUTION: Please help me complete the square for this equation: 9x^2+54x=18

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please help me complete the square for this equation: 9x^2+54x=18      Log On


   



Question 884741: Please help me complete the square for this equation: 9x^2+54x=18
Found 2 solutions by richwmiller, josgarithmetic:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
9x^2+54x=18
first divide by 9
x^2+6x=2
take half of 6 and square it
x^2+6x+9=11
(x+3)^2=11
x+3=ħsqrt(11)



Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
9x%5E2%2B54x=18
Simplify, applying factor %281%2F9%29 both sides.
x%5E2%2B6x=2
x%5E2%2B6x-2=0

Now, understand (read and study) the lesson on Completing the Square:
Explains what to do - Completing the Square to Solve General Quadratic Equation

The term which completes the square is %286%2F2%29%5E2=9 in the now simplified equation.