SOLUTION: Solve by taking roots. 2(5x-3)^2 = 7

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve by taking roots. 2(5x-3)^2 = 7      Log On


   

Question 1028180: Solve by taking roots.
2(5x-3)^2 = 7
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Isolate the square, first.

%285x-3%29%5E2=7%2F2

5x-3=0%2B-+sqrt%287%2F2%29

5x=3%2B-+sqrt%287%2F2%29%28sqrt%282%29%2Fsqrt%282%29%29

5x=3%2B-+sqrt%2814%29%2F2

x=3%2F5%2B-+sqrt%2814%29%2F10