What is the answer to x/2+1= 4/x ?

The answer to x/2+1= 4/x is x=2,x=-4

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x/2+1= 4/x

\frac{x}{2} + 1 = \frac{4}{x}

x = 2, x = - 4

Solution steps

\frac{x}{2} + 1 = \frac{4}{x}

Multiply by LCM

x^{2} + 2 x = 8

Solve

x^{2} + 2 x = 8 : x = 2, x = - 4

x = 2, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 4

\frac{x}{15 x + 6} = 10 x - 24

x, y = \frac{1}{x} v w

f, f^{- 1} (x) = 3^{x}

\frac{7}{x + 2} + \frac{1}{x - 1} = 4

x = \frac{y}{z}, z