SOLUTION: Solve the equation by completing the square. a^2-2a= 24

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve the equation by completing the square. a^2-2a= 24      Log On


   

Question 672521: Solve the equation by completing the square.
a^2-2a= 24
Found 2 solutions by mananth, ReadingBoosters:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E2-2a=24
a%5E2-2a%2B1=24%2B1
%28a%2B1%29%5E2=25
Take the square root
(a+1)=+/-5
a=-1+5=4
OR
a=-1-5=-6
a=4OR-6

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E2+-+2a+%2B+1+=+24+%2B+1
...
a%5E2+-+2a+%2B+1+=+25
...
(a-1)(a-1) = 25
...
%28a-1%29%5E2+=+25
...
sqrt%28a-1%29%5E2 = +-sqrt%2825%29
...
a-1 = +- 5
a = +- 5 + 1
a = +- 6
...
highlight_green%28a=6%29 and highlight_green%28a=-6%29
.....................
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.