What is the answer to 2+2/p+1/2 p^2= 1/2 ?

The answer to 2+2/p+1/2 p^2= 1/2 is p=-1,p= 1/2+i(sqrt(15))/2 ,p= 1/2-i(sqrt(15))/2

Solve for p: 2+2/p+1/2 p^2= 1/2

The solution is p=-1,p= 1/2+i(sqrt(15))/2 ,p= 1/2-i(sqrt(15))/2

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2 + \frac{2}{p} + \frac{1}{2} p^{2} = \frac{1}{2}

p = - 1, p = \frac{1}{2} + i \frac{15}{2}, p = \frac{1}{2} - i \frac{15}{2}

Solution steps

2 + \frac{2}{p} + \frac{1}{2} p^{2} = \frac{1}{2}

Multiply by LCM

4 p + 4 + p^{3} = p

Solve

4 p + 4 + p^{3} = p : p = - 1, p = \frac{1}{2} + i \frac{15}{2}, p = \frac{1}{2} - i \frac{15}{2}

p = - 1, p = \frac{1}{2} + i \frac{15}{2}, p = \frac{1}{2} - i \frac{15}{2}

Verify Solutions

Find undefined (singularity) points:

p = 0

Combine undefined points with solutions:

p = - 1, p = \frac{1}{2} + i \frac{15}{2}, p = \frac{1}{2} - i \frac{15}{2}

35 = \frac{100 x}{x + 135}

(\frac{3}{( 2 b )})^{2} - (b)^{2} = 2

\frac{3}{7} + \frac{\frac{1}{7}}{x} = \frac{7}{14}

0.8 = \frac{( ( 0.8 - y ) ( 0.8 - y ) )}{( 0.4 + y )}

\frac{7}{5 ( x + \frac{1}{2} ) - 0.7} = 3 (- x - 1.2) + 5

What is the answer to 2+2/p+1/2 p^2= 1/2 ?
The answer to 2+2/p+1/2 p^2= 1/2 is p=-1,p= 1/2+i(sqrt(15))/2 ,p= 1/2-i(sqrt(15))/2
Solve for p: 2+2/p+1/2 p^2= 1/2
The solution is p=-1,p= 1/2+i(sqrt(15))/2 ,p= 1/2-i(sqrt(15))/2