SOLUTION: Please help me solve. -9(x-3)^2=-7

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Question 83544: Please help me solve.
-9(x-3)^2=-7
Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve.
-9(x-3)^2=-7
Divide thru by -9 to get:
(x-3)^2 = 7/9
Take the square root to get:
(x-3) = (sqrt7)/3 or (x-3) = (-sqrt7)/3
x= 3 + (sqrt7)/3 or x = 3 -(sqrt3)/3
===============
Cheers,
Stan H.

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

Please help me solve.

-9%28x-3%29%5E2 = -7

Divide both sides by -9

%28-9%28x-3%29%5E2%29%2F%28-9%29 = %28-7%29%2F%28-9%29

Cancel the -9's on the left and the 
negative signs on the right:

%28x-3%29%5E2 = 7%2F9

Take the square roots of both sides:

sqrt%28%28x-3%29%5E2%29 = sqrt%287%2F9%29

abs%28x-3%29 = sqrt%287%2F9%29

abs%28x-3%29 = sqrt%287%29%2F3 

which breaks into two equations:

x-3 = sqrt%287%29%2F3,  x-3 = -sqrt%287%2F9%29

Solving the first:

x - 3 = sqrt%287%29%2F3

Add 3 to both sides

    x = 3 + sqrt%287%29%2F3

    x = 9%2F3 + sqrt%287%29%2F3

    x = %289+%2B+sqrt%287%29%29%2F3

That's one solution.

Solving the second:

x - 3 = -sqrt%287%29%2F3

Add 3 to both sides

    x = 3 - sqrt%287%29%2F3

    x = 9%2F3 - sqrt%287%29%2F3

    x = %289+-+sqrt%287%29%29%2F3

That's the other solution.

Edwin