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

The answer to 4/((x+2))+4/x =1 is x=3+sqrt(17),x=3-sqrt(17)

Solve for x: 4/((x+2))+4/x =1

The solution is x=3+sqrt(17),x=3-sqrt(17)

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

x = 3 + 17, x = 3 - 17

Decimal Notation

x = 7.12310 \dots, x = - 1.12310 \dots

Solution steps

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

Multiply by LCM

4 x + 4 (x + 2) = x (x + 2)

Solve

4 x + 4 (x + 2) = x (x + 2) : x = 3 + 17, x = 3 - 17

x = 3 + 17, x = 3 - 17

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Combine undefined points with solutions:

x = 3 + 17, x = 3 - 17

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

\frac{x}{3} = \frac{27}{x}

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

\frac{3 x}{x + 3} = 6 - \frac{9}{x + 3}

0 = x + \frac{9}{x + 1} - 5

What is the answer to 4/((x+2))+4/x =1 ?
The answer to 4/((x+2))+4/x =1 is x=3+sqrt(17),x=3-sqrt(17)
Solve for x: 4/((x+2))+4/x =1
The solution is x=3+sqrt(17),x=3-sqrt(17)