SOLUTION: Solve. {{{9x^2=14}}} My answer to this problem was: x={{{2^(1/2)*7^(1/2)/3}}},x={{{-2^(1/2)*7^(1/2)/3}}} However this is not one of the options for this problem. I need to know

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve. {{{9x^2=14}}} My answer to this problem was: x={{{2^(1/2)*7^(1/2)/3}}},x={{{-2^(1/2)*7^(1/2)/3}}} However this is not one of the options for this problem. I need to know       Log On


   

Question 75977: Solve. 9x%5E2=14
My answer to this problem was: x=2%5E%281%2F2%29%2A7%5E%281%2F2%29%2F3,x=-2%5E%281%2F2%29%2A7%5E%281%2F2%29%2F3 However this is not one of the options for this problem. I need to know what I did wrong. Thanks so much.
The answers to this problem are:
a)+%287%2F3%29
b)+%28sqrt%2814%29%2F3%29
c)+sqrt%2814%29%2F9%29
d)+%287%2F9%29
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
9x^2=14
sqrt(9x^2)=sqrt(14)[take the square root of both sides of the equation]
3x=sqrt(14) [solve for x]
3x/3=sqrt(14)/3
x=sqrt(14)/3