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## anonymous 5 years ago solve : 2x over 3 - 4 over x= 5 over 3

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1. anonymous

$\frac{2x}{3} - \frac{4}{x} = \frac{5}{3}$ is this what the problem looks like?

2. anonymous

yes

3. anonymous

the answer is x=4 and -1.5

4. anonymous

how do you solve it?

5. anonymous

$\frac{2x(x)}{3(x)}-\frac{4(3)}{x(3)}=\frac{5}{3}$ $\frac{2x ^{2}-12}{3x}=\frac{5}{3}$ multiply both sides by 3 $\frac{2x ^{2}-12}{x}=5$ multiply both sides by x$2x ^{2}-12=5x$ $2x ^{2}-5x-12=0$ solve using the quadratic formula

6. anonymous

thank you :)

7. anonymous

you're welcome

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