SOLUTION: the question is: solve the quadratic equation by completing the square: x^2-20x=0 x^2-20x+(20/2)^2 = (20/2)^2 (sqrt x - sqrt 10^2)^2 = sqrt 100 x-10 = +- 10 x-10=10

Algebra.Com
Question 207259: the question is: solve the quadratic equation by completing the square:
x^2-20x=0
x^2-20x+(20/2)^2 = (20/2)^2
(sqrt x - sqrt 10^2)^2 = sqrt 100
x-10 = +- 10
x-10=10 x-10 =-10
x=20 x=0
I am checking to make sure I did the work correctly, this isn't from a textbook so I don't have a page # or anything to reference too.
Thank you for your help.

Found 3 solutions by solver91311, RAY100, Edwin McCravy:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Same as Question 207261. Your notation is whacked but you did the problem correctly.


John


Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!
x^2 -20x =0
.
x^2 -20x +(20/2)^2 = (20/2)^2
.
x^2 -20x +100 = 100
.
(x-10)^2 =100
.
take sqrt of both sides
.
+/- (x-10) = +/- 10
.
(x-10) =10,,,x=20,,check,,(20)^2 -20(20)=0,,400-400=0,,ok
.
(x-10)= -10,,,x=0,,check,,(0)^2 -20(0)=0,,,ok
.
-x+10=10,,x=0,,,check,,ok
.
-x+10=-10,,x=20,,check,,ok
.
Therefore,,,x=0,20






Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
the question is: solve the quadratic equation by completing the square:

You did it right but your notation is bad.

















Using the +




Using the -




Edwin


RELATED QUESTIONS

x^2-20X=10, can we solve this by completing the square? (answered by Fombitz)
Solve by completing the square. Obtain exact solutions. a. x^2-8x+9=0 b.... (answered by ikleyn)
question is: solve the quadratic equation by completing the square: x^2+6x=0... (answered by RAY100,solver91311)
The quadratic equation x^2 - 8x = -20 is to be solved by completing the... (answered by richwmiller,checkley77)
Solve this equation by completing the square: 5x^2-20x+6=0 (answered by josgarithmetic)
Solve the equation SQRT of... (answered by stanbon)
solve the equation by factoring 2 20x + 33x + 10 =... (answered by checkley75)
Please help me solve this equation: 5x^2-20x-20=5 It is called completing the square... (answered by jim_thompson5910)
find an equation of the line that bisects the obtuse angles formed by the lines with... (answered by solver91311)