What is the answer to x^2+1=(x+125)/x ?

The answer to x^2+1=(x+125)/x is x=5,x=-5/2+(5sqrt(3))/2 i,x=-5/2-(5sqrt(3))/2 i

Solve for x: x^2+1=(x+125)/x

The solution is x=5,x=-5/2+(5sqrt(3))/2 i,x=-5/2-(5sqrt(3))/2 i

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x^{2} + 1 = \frac{x + 125}{x}

x = 5, x = - \frac{5}{2} + \frac{5 3}{2} i, x = - \frac{5}{2} - \frac{5 3}{2} i

Solution steps

x^{2} + 1 = \frac{x + 125}{x}

Multiply both sides by

x

x^{3} + x = x + 125

Solve

x^{3} + x = x + 125 : x = 5, x = - \frac{5}{2} + \frac{5 3}{2} i, x = - \frac{5}{2} - \frac{5 3}{2} i

x = 5, x = - \frac{5}{2} + \frac{5 3}{2} i, x = - \frac{5}{2} - \frac{5 3}{2} i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5, x = - \frac{5}{2} + \frac{5 3}{2} i, x = - \frac{5}{2} - \frac{5 3}{2} i

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

(x + \frac{1}{x})^{2} = 9

\frac{1}{x + 1} + 4 = \frac{17}{x + 1}

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

\frac{2}{3 ( 3 x + 9 )} = - 2 (2 x + 6)

What is the answer to x^2+1=(x+125)/x ?
The answer to x^2+1=(x+125)/x is x=5,x=-5/2+(5sqrt(3))/2 i,x=-5/2-(5sqrt(3))/2 i
Solve for x: x^2+1=(x+125)/x
The solution is x=5,x=-5/2+(5sqrt(3))/2 i,x=-5/2-(5sqrt(3))/2 i