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

The answer to (2p)/5+5/p =3 is p=5,p= 5/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2p)/5+5/p =3

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

p = 5, p = \frac{5}{2}

Decimal Notation

p = 5, p = 2.5

Solution steps

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

Multiply by LCM

2 p^{2} + 25 = 15 p

Solve

2 p^{2} + 25 = 15 p : p = 5, p = \frac{5}{2}

p = 5, p = \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

p = 0

Combine undefined points with solutions:

p = 5, p = \frac{5}{2}

8 = \frac{r}{1000 + r} (10.8038)

\frac{7 x - 9}{2} = \frac{3}{2 x}

(x) = \frac{x ^{2}}{x ^{2} - 9}

\frac{y}{7 y - 4 + 3 y + 6} = 9 y + 8

\frac{5}{6} = r - \frac{6}{r} 3