What is the answer to 2/p+3/(p+1)=5 ?

The answer to 2/p+3/(p+1)=5 is p=sqrt(2/5),p=-sqrt(2/5)

Solve for p: 2/p+3/(p+1)=5

The solution is p=sqrt(2/5),p=-sqrt(2/5)

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\frac{2}{p} + \frac{3}{p + 1} = 5

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

Decimal Notation

p = 0.63245 \dots, p = - 0.63245 \dots

Solution steps

\frac{2}{p} + \frac{3}{p + 1} = 5

Multiply by LCM

2 (p + 1) + 3 p = 5 p (p + 1)

Solve

2 (p + 1) + 3 p = 5 p (p + 1) : p = \frac{2}{5}, p = - \frac{2}{5}

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

Verify Solutions

Find undefined (singularity) points:

p = 0, p = - 1

Combine undefined points with solutions:

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

x = \frac{( x - 1 )}{( x - 1 )}

\frac{1}{x ^{2} + 10 x + 25} = 4

\frac{7}{2 - x} = 0

\frac{2 x}{x - 1} - 2 = \frac{3}{x + 1}

\frac{4 - x}{1 - x} = \frac{12}{3 - x}

What is the answer to 2/p+3/(p+1)=5 ?
The answer to 2/p+3/(p+1)=5 is p=sqrt(2/5),p=-sqrt(2/5)
Solve for p: 2/p+3/(p+1)=5
The solution is p=sqrt(2/5),p=-sqrt(2/5)