SOLUTION: I am trying to understand the concept of "completing the square" in a quadratic equation. The original equation is {{{ 1/2x^2 + 2/3x - 5/6=0 }}} I put it into general form

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: I am trying to understand the concept of "completing the square" in a quadratic equation. The original equation is {{{ 1/2x^2 + 2/3x - 5/6=0 }}} I put it into general form       Log On


   

Question 41438: I am trying to understand the concept of "completing the square" in a quadratic equation. The original equation is +1%2F2x%5E2+%2B+2%2F3x+-+5%2F6=0+
I put it into general form 1%2F2x%5E2+%2B+2%2F3x+-+5%2F6+=+0
Set up problem as +-2%2F3+%2B-+sqrt%282%2F3%5E2+-+5%2F3%29
For some reason, the answer I got wasn't the correct answer. Am I doing something wrong in the formula steps shown above?
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
I am trying to understand the concept of "completing the square" in a quadratic equation. The original equation is +1%2F2x%5E2+%2B+2%2F3x+-+5%2F6=0+
I put it into general form 1%2F2x%5E2+%2B+2%2F3x+-+5%2F6+=+0
IT IS EASIER IF YOU REMOVE FRACTIONS...PLEASE CLARIFY WHETHER THE TERMS ARE
(1/2)*X^2...OR.....(1/(2*X^2))...IT IS VEY IMPORTANT.ASSUMING THE FORMER
LCM IS 6..SO MULTIPLY THROUGHOUT WITH 6 TO GET
3X^2+4X-5=0..YOU HAVE TO MAKE A PERFECT SQUARE FULLY UTILISING THE 3X^2 AND 4X TERMS
{XSQRT(3)+2*XSQRT(3)*2/SQRT(3)+(2/SQRT(3))^2}-5-(2/SQRT(3))^2=0
{XSQRT(3)+(2/SQRT(3)}^2-5-4/3=0
{XSQRT(3)+(2/SQRT(3)}^2=5+4/3=19/3