What is the answer to 2/3-2p=5+4/(3p) ?

The answer to 2/3-2p=5+4/(3p) is p=-(13+sqrt(73))/(12),p=-(13-sqrt(73))/(12)

Solve for p: 2/3-2p=5+4/(3p)

The solution is p=-(13+sqrt(73))/(12),p=-(13-sqrt(73))/(12)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{2}{3} - 2 p = 5 + \frac{4}{3 p}

p = - \frac{13 + 73}{12}, p = - \frac{13 - 73}{12}

Decimal Notation

p = - 1.79533 \dots, p = - 0.37133 \dots

Solution steps

\frac{2}{3} - 2 p = 5 + \frac{4}{3 p}

Multiply by LCM

2 p - 6 p^{2} = 15 p + 4

Solve

2 p - 6 p^{2} = 15 p + 4 : p = - \frac{13 + 73}{12}, p = - \frac{13 - 73}{12}

p = - \frac{13 + 73}{12}, p = - \frac{13 - 73}{12}

Verify Solutions

Find undefined (singularity) points:

p = 0

Combine undefined points with solutions:

p = - \frac{13 + 73}{12}, p = - \frac{13 - 73}{12}

2 + 200 Q^{- 2} = 0

\frac{1}{4 ( x + 5 ) ^{2} - 1} = 3

\frac{4}{x + 2} = \frac{3}{4}

\frac{4}{3} = \frac{10}{x}

\frac{x + 5}{x} - \frac{5}{4} = 0

What is the answer to 2/3-2p=5+4/(3p) ?
The answer to 2/3-2p=5+4/(3p) is p=-(13+sqrt(73))/(12),p=-(13-sqrt(73))/(12)
Solve for p: 2/3-2p=5+4/(3p)
The solution is p=-(13+sqrt(73))/(12),p=-(13-sqrt(73))/(12)