What is the answer to x+4/x-4+x-4/x+4= 10/3 ?

The answer to x+4/x-4+x-4/x+4= 10/3 is x= 5/3

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x+4/x-4+x-4/x+4= 10/3

x + \frac{4}{x} - 4 + x - \frac{4}{x} + 4 = \frac{10}{3}

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

x + \frac{4}{x} - 4 + x - \frac{4}{x} + 4 = \frac{10}{3}

Multiply by LCM

6 x^{2} = 10 x

Solve

6 x^{2} = 10 x : x = 0, x = \frac{5}{3}

x = 0, x = \frac{5}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = \frac{5}{3}

\frac{x}{( 1 - x )} + \frac{( 1 - x )}{x} = \frac{21}{6}

\frac{24}{3 a} = 4

y, x = \frac{28}{y}

0.1 = \frac{0.09}{y}

\frac{0 \cdot 25}{x} = 25

What is the answer to x+4/x-4+x-4/x+4= 10/3 ?
The answer to x+4/x-4+x-4/x+4= 10/3 is x= 5/3
Solve for x: x+4/x-4+x-4/x+4= 10/3
The solution is x= 5/3