SOLUTION: Please help with this! I need to solve by completing the square: 3x^2 -2x = 0 and x^2 + 100 = 27x Thanks so much!!

Question 532001: Please help with this! I need to solve by completing the square:
3x^2 -2x = 0
and x^2 + 100 = 27x

Thanks so much!!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
3x^2 - 2x + __ = 0
to complete the square we need the coefficient of x^2 to 1, divide eq by 3,
x^2 - x + ____ = 0
to obtain the term that completes the square, divide the coefficient of x by 2 and square it.
Add of both sides
x^2 - x + =
A perfect squares which factors to
=
find the square root of both sides
= +/-
Find the square root of 1/9
x = +/-
Two solutions
x = +
x =
and
x = -
x = 0
:
:
x^2 + 100 = 27x
Write it in this form
x^2 - 27x + ___ = -100
Find the 3rd term that completes the square, (27/2)^2
x^2 - 27x + = -100 +
x^2 - 27x + = +
x^2 - 27x + =
=
Find the square root of both sides
= +/-
x = +/-
Extract the square root of 1/4
x = +/- *
Two solutions
x =
and
x =
RELATED QUESTIONS
Please!! I need help to solve by completing the square: 2x^2 -9x + 4 = 0 and 4... (answered by stanbon)

Please help to solve this equation by completing the square: 3x^2 - x - 1 =... (answered by josmiceli)

x^2+3x=28. I need help to solve this problem by completing the... (answered by lenny460)

need to solve by completing the square.... (answered by mananth)

I need some help with this problem. Solve by completing the square.... (answered by sumanth18)

Please help, it says to solve by completing the square. x^2-3x+1=0 What I got for this... (answered by vleith)

I need help with the following. I can only get so far and then am stuck. I think the... (answered by Fombitz)

Solve by completing the square and separate answers with commas: x^2 - 2x = 10... (answered by stanbon)

I need help with this problem please solve by completing the square x^2-9/2x-1/2=0... (answered by Alan3354)