Question

Solve for x

Answer 1

\[\huge \frac{5x}{2} = \frac{1}{x} + \frac{x}{4}\]

Answer 2

@Directrix @Miracrown

Answer 3

5x/2 - x/4 = 1/x
9x/4=1/x
9x^2/4=1
9x^2=4
x^2=4/9
x=sqrt (4/9)
x=2/3

Answer 4

my teacher asked to use lcd

Answer 5

so i thought that the lcd would be 4x for \(\large \frac{1}{x} + \frac{x}{4}\)

Answer 6

and then i would use cross multiplication

Answer 7

That should work.

Do that step first.

Answer 8

Ah that works too, good idea