SOLUTION: Help please! State any restrictions on x. And solve for x. 5 2 7 - + - = - 3x x^2 9

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Help please! State any restrictions on x. And solve for x. 5 2 7 - + - = - 3x x^2 9      Log On


   

Question 264117: Help please! State any restrictions on x. And solve for x.
5 2 7
- + - = -
3x x^2 9
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve for x.
5 2 7
- + - = -
3x x^2 9
:
5%2F%283x%29 + 2%2Fx%5E2 = 7%2F9
Multiply both sides by 9x^2, results
:
3x(5) + 9(2) = x^2(7)
:
15x + 18 = 7x^2
:
A quadratic equation
0 = 7x^2 - 15x - 18
:
Factors to:
(7x + 6)(x - 3) = 0
:
Two solutions
x = 3
and
7x = -6
x = -6%2F7
;
x cannot = 0
:
Check solution using x=3
5%2F%283%2A3%29 + 2%2F3%5E2 = 7%2F9