What is the answer to 2t=9+5/t ?

The answer to 2t=9+5/t is t=5,t=-1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2t=9+5/t

2 t = 9 + \frac{5}{t}

t = 5, t = - \frac{1}{2}

Decimal Notation

t = 5, t = - 0.5

Solution steps

2 t = 9 + \frac{5}{t}

Multiply both sides by

t

2 t^{2} = 9 t + 5

Solve

2 t^{2} = 9 t + 5 : t = 5, t = - \frac{1}{2}

t = 5, t = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

t = 0

Combine undefined points with solutions:

t = 5, t = - \frac{1}{2}

\frac{4}{9} = \frac{10}{x}

- \frac{2}{5 x} + \frac{3}{50 x} = 17

x + \frac{5 - x}{x ^{2} - 25} = 5

\frac{10}{6 x + 7} = \frac{6}{2 x + 9}

- \frac{70}{x} = - 7