SOLUTION: can someone please check this for me? (x-3)^2=9 =x=-3+-9 x=3+-sqrt9

Algebra.Com
Question 80827: can someone please check this for me?
(x-3)^2=9
=x=-3+-9
x=3+-sqrt9

Found 2 solutions by Earlsdon, stanbon:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve for x:
Take the square root of both sides.
(+ or -)
or Add 3 to both sides of each equation.
or
or

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
(x-3)^2=9
Write it as follows:
[(x-3)^2-9]=0
This is the difference of squares:
Factor as follows:
[x-3-3][x-3+3]=0
[x-6][x]=0
x=0 or x=6
--------------
Another way to do it:
Expand it to get:
x^2-6x+9-9=0
x^2-6x=0
x(x-6)=0
x=0 or x=6
=============
Cheers,
Stan H.

RELATED QUESTIONS

Solve for the unknown variable: a)sqrt9^x=27 b)8^(1/2x)=(2^7)*(4^9) c)sqrt125^x=5/25^x (answered by solver91311)
can some one please check this for me? I had to solve and check sqrt{{{x+4}}}=3... (answered by jim_thompson5910)
can someone check this for me? (x-10)(x+9)... (answered by stanbon,checkley75)
can someone please tell me if I did this factor correctly? (x^2-9)=... (answered by nerdybill)
can someone please check this for me please? 7x^2+18x-9 x=-b+-sqrt{{{b^2-4ac}}}/2a... (answered by stanbon)
can someone check tese for me please? divide 40x^3-48X^2 over 8x =5x-6x and... (answered by 303795)
Write as a single power: [27^(-x+2)*(1/9)^2x]/3(81)^(x-4) My answer is 3^(-11x+22). Can (answered by stanbon)
can someone please check this for me? {{{x^2-11x+24 = 0}}}... (answered by Edwin McCravy)
will someone check this for me please? sqrt{{{3x+9}}}+6=0 sqrt{{{3x+9}}}=-6... (answered by tutor_paul)