Question 264117
solve for x.
5 2 7
- + - = -
3x x^2 9
:
{{{5/(3x)}}} + {{{2/x^2}}} = {{{7/9}}}
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 = {{{-6/7}}}
;
x cannot = 0
:
Check solution using x=3
{{{5/(3*3)}}} + {{{2/3^2}}} = {{{7/9}}}