# How do you solve 9/c^2-1/4c=2/c?

May 27, 2018

$c = 2.51396$

#### Explanation:

$\frac{9}{c} ^ 2 - \frac{c}{4} = \frac{2}{c}$

Multiplying by ${c}^{2}$ both sides, we get,

$9 - {c}^{3} / 4 = 2 c$

$36 - {c}^{3} = 8 c$

Drawing the graph of the above cubic equation, we get,

graph{x^3+8x-36 [-8.89, 8.89, -4.44, 4.45]}

$c = 2.51396$