SOLUTION: Completing the square? Can someone show me the steps to completing the square for this please? - 1/5x^2 - 1/2x + 2 = 0

Algebra.Com
Question 411127: Completing the square?
Can someone show me the steps to completing the square for this please?

- 1/5x^2 - 1/2x + 2 = 0

Found 2 solutions by ewatrrr, edjones:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Completing the square:
- 1/5x^2 - 1/2x + 2 = 0 |Multiplying thru by -10 so as all denominators= 1
2x^2 + 5x -20 = 0
2(x^2 + 5/2) - 20 = 0
2[x + 5/4)^2 -25/16] - 20 = 0
2(x+5/4)^2 - 25/8 - 160/8 = 0
2(x+5/4)^2 - 185/8 = 0
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
- 1/5x^2 - 1/2x + 2 = 0
x^2 + 5x/2 - 10 = 0 multiply each side by -5.
x^2 + 5x/2 + 25/16 = 10 + 25/16
(x+ 5/4)^2=185/16
x + 5/4 = +-sqrt(185)/4
x=(-5+-sqrt(185))/4
x=(-5+sqrt(185))/4, x=(-5-sqrt(185))/4
.
Ed

RELATED QUESTIONS

Completing the square. This is so difficult. Can someone show me easy steps to understand (answered by solver91311,MathLover1)
{{{ 3x^2+5x-1=0 }}} Please help me solve this equation by completing the square (answered by jim_thompson5910)
URGENT CAN SOMEONE HELP ME ON THIS PROBLEM (answered by Alan3354,mouk)
can you please help me solve by completing the square of:... (answered by Mathtut)
can you please help me solve by completing the square of ((( 2x^2-3x+1=0... (answered by solver91311)
John used completing the square to find the zeros of the function y=9x^2-12x-33. (answered by ankor@dixie-net.com)
solve by completing the square 2x^2+5x-1=0 the solutions are x=???????????... (answered by Earlsdon)
Could someone please show me how to solve its expression??? Solve by completing the... (answered by Earlsdon)
Please show me how to solve this problem by completing the square.... (answered by Earlsdon)