SOLUTION: How do I solve x^2-15x+56.25=8 by using the square root property? This is what I did: (x^2-15x+56.25=8)/.25 4x^2-60x+225=32 (2x-30

Algebra ->  Radicals -> SOLUTION: How do I solve x^2-15x+56.25=8 by using the square root property? This is what I did: (x^2-15x+56.25=8)/.25 4x^2-60x+225=32 (2x-30      Log On


   

Question 399834: How do I solve x^2-15x+56.25=8 by using the square root property?
This is what I did: (x^2-15x+56.25=8)/.25
4x^2-60x+225=32
(2x-30)(2x-30)
Now I'm stuck and I don't even think I did it right.
Found 2 solutions by rfer, Tatiana_Stebko:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x-3.9x+7.5=2.8
-2.9x=-4.7
x=1.62

Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E2-60x%2B225=32
%282x%29%5E2-2%2A%282x%29%2A15%2B%2815%29%5E2=32
FORMULA a%5E2-2%2Aa%2Ab%2Bb%5E2=%28a-b%29%5E2
%282x-15%29%5E2=32
2x-15=sqrt%2832%29 or 2x-15=-sqrt%2832%29
2x=15%2Bsqrt%2832%29 or 2x=15-sqrt%2832%29
x=%2815%2B4sqrt%282%29%29%2F2 or x=%2815-4sqrt%282%29%29%2F2
x=10.33 or x=4.67