SOLUTION: Solve. 5(x-2)^2=3 I want to check my answer of x={{{(2sqrt(15)+10)/5}}},x={{{(-2sqrt(15)+10)/5}}} I needed to know if this is correct. Thanks.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve. 5(x-2)^2=3 I want to check my answer of x={{{(2sqrt(15)+10)/5}}},x={{{(-2sqrt(15)+10)/5}}} I needed to know if this is correct. Thanks.      Log On


   

Question 75978: Solve. 5(x-2)^2=3
I want to check my answer of x=%282sqrt%2815%29%2B10%29%2F5,x=%28-2sqrt%2815%29%2B10%29%2F5
I needed to know if this is correct. Thanks.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve: 5(x-2)^2=3
:
5(x^2 - 4x + 4) = 3
5x^2 - 20x + 20 = 3
5x^2 - 20x + 20 -3 = 0
5x^2 - 20x + 17 = 0
:
No doubt you got to this point in the quadratic formula and had
:
x+=+%28%2B20+%2B-+sqrt%28+60+%29%29%2F%2810%29+
:
:
x+=+%28%2B20+%2B-+2%2Asqrt%28+15+%29%29%2F%2810%29+
:
:
x+=+%28%2B10+%2B-+sqrt%28+15+%29%29%2F%285%29+; the 2 cancels out here.
:
Otherwise you had it right