Question 62388
-9(x-3)^2=-7
-9(x^2-6x+9)=-7
-9x^2+54x-81=-7
-9x^2+54x-81+7=0
-9x^2+54x-74=0 
9x^2-54x+74=0  using the quadratic equation x=(-b+-sqrt[b^2-4ac)]/2a we get
x=(54+-sqrt[-54*-54-4*9*74)]/2*9
x=(54+-sqrt[2916-2664])/18
x=(54+-sqrt-252)/18
x=(54+-15.87)/18
x=54+15.87)/18
x=69.87/18
x=3.88 solution
x=(54-15.87)/18
x=38.13/18
x=2.12 solution
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ALL THESE ANSWERS ARE CORRECT. THEY ARE JUST IN DIFFERENT FORMS. IF YOU'LL SOLVE THE OTHER SOLUTIONS WITH THE RADICAL SIGNS YOU'LL SEE THEY GET THE SAME NUMBERS AS I GOT.