Question

solve : 2x over 3 - 4 over x= 5 over 3

Answer 1

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

Answer 2

yes

Answer 3

the answer is
x=4 and -1.5

Answer 4

how do you solve it?

Answer 5

\[\frac{2x(x)}{3(x)}-\frac{4(3)}{x(3)}=\frac{5}{3}\]
\[\frac{2x ^{2}-12}{3x}=\frac{5}{3}\]
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

Answer 6

thank you :)

Answer 7

you're welcome