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

The answer to x/(x+3)-4/x =4 is x=-(2(4+sqrt(7)))/3 ,x=-(2(4-sqrt(7)))/3

Solve for x: x/(x+3)-4/x =4

The solution is x=-(2(4+sqrt(7)))/3 ,x=-(2(4-sqrt(7)))/3

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

x = - \frac{2 ( 4 + 7 )}{3}, x = - \frac{2 ( 4 - 7 )}{3}

Decimal Notation

x = - 4.43050 \dots, x = - 0.90283 \dots

Solution steps

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

Multiply by LCM

x^{2} - 4 (x + 3) = 4 x (x + 3)

Solve

x^{2} - 4 (x + 3) = 4 x (x + 3) : x = - \frac{2 ( 4 + 7 )}{3}, x = - \frac{2 ( 4 - 7 )}{3}

x = - \frac{2 ( 4 + 7 )}{3}, x = - \frac{2 ( 4 - 7 )}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 0

Combine undefined points with solutions:

x = - \frac{2 ( 4 + 7 )}{3}, x = - \frac{2 ( 4 - 7 )}{3}

\frac{12}{x} + x = 8

\frac{2 x}{x + 4} = 7 - \frac{8}{x + 4}

z, x = \frac{w + r ^{2}}{z}

\frac{36}{x} = \frac{9}{2}

\frac{550}{1.5 x} = 2.094 4^{2}

What is the answer to x/(x+3)-4/x =4 ?
The answer to x/(x+3)-4/x =4 is x=-(2(4+sqrt(7)))/3 ,x=-(2(4-sqrt(7)))/3
Solve for x: x/(x+3)-4/x =4
The solution is x=-(2(4+sqrt(7)))/3 ,x=-(2(4-sqrt(7)))/3