What is the answer to y-1/y =(3y)/4 ?

The answer to y-1/y =(3y)/4 is y=2,y=-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y-1/y =(3y)/4

y - \frac{1}{y} = \frac{3 y}{4}

y = 2, y = - 2

Solution steps

y - \frac{1}{y} = \frac{3 y}{4}

Multiply by LCM

4 y^{2} - 4 = 3 y^{2}

Solve

4 y^{2} - 4 = 3 y^{2} : y = 2, y = - 2

y = 2, y = - 2

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = 2, y = - 2

a c = \frac{d}{r}

\frac{x + 8}{x - 2} = \frac{3}{x}

x, t^{2} = b - \frac{n}{x}

\frac{n}{3 n + 2} + 1 = \frac{4}{n - 2}

\frac{30}{23} = \frac{120}{c}