What is the answer to 2/p+1=(5p)/2-7 ?

The answer to 2/p+1=(5p)/2-7 is p=(2(4+sqrt(21)))/5 ,p=(2(4-sqrt(21)))/5

Solve for p: 2/p+1=(5p)/2-7

The solution is p=(2(4+sqrt(21)))/5 ,p=(2(4-sqrt(21)))/5

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\frac{2}{p} + 1 = \frac{5 p}{2} - 7

p = \frac{2 ( 4 + 21 )}{5}, p = \frac{2 ( 4 - 21 )}{5}

Decimal Notation

p = 3.43303 \dots, p = - 0.23303 \dots

Solution steps

\frac{2}{p} + 1 = \frac{5 p}{2} - 7

Multiply by LCM

4 = 5 p^{2} - 16 p

Solve

4 = 5 p^{2} - 16 p : p = \frac{2 ( 4 + 21 )}{5}, p = \frac{2 ( 4 - 21 )}{5}

p = \frac{2 ( 4 + 21 )}{5}, p = \frac{2 ( 4 - 21 )}{5}

Verify Solutions

Find undefined (singularity) points:

p = 0

Combine undefined points with solutions:

p = \frac{2 ( 4 + 21 )}{5}, p = \frac{2 ( 4 - 21 )}{5}

\frac{2}{x} = \frac{5}{3 x - 1}

5 + \frac{4 x ^{2} - 1}{4 x + 6} = x - 2

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

\frac{2}{x} = \frac{4}{5}

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

What is the answer to 2/p+1=(5p)/2-7 ?
The answer to 2/p+1=(5p)/2-7 is p=(2(4+sqrt(21)))/5 ,p=(2(4-sqrt(21)))/5
Solve for p: 2/p+1=(5p)/2-7
The solution is p=(2(4+sqrt(21)))/5 ,p=(2(4-sqrt(21)))/5