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

The answer to 4/x =(3x)/(x+3) is x=(2(1+sqrt(10)))/3 ,x=(2(1-sqrt(10)))/3

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

The solution is x=(2(1+sqrt(10)))/3 ,x=(2(1-sqrt(10)))/3

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

x = \frac{2 ( 1 + 10 )}{3}, x = \frac{2 ( 1 - 10 )}{3}

Decimal Notation

x = 2.77485 \dots, x = - 1.44151 \dots

Solution steps

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

Cross multiply

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

Solve

4 (x + 3) = 3 x^{2} : x = \frac{2 ( 1 + 10 )}{3}, x = \frac{2 ( 1 - 10 )}{3}

x = \frac{2 ( 1 + 10 )}{3}, x = \frac{2 ( 1 - 10 )}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 3

Combine undefined points with solutions:

x = \frac{2 ( 1 + 10 )}{3}, x = \frac{2 ( 1 - 10 )}{3}

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

x, x + 5 = \frac{6}{x}

\frac{5}{x} = 1.5

\frac{350}{250} = \frac{1}{1 - D}

\frac{4}{5 x} = 3

What is the answer to 4/x =(3x)/(x+3) ?
The answer to 4/x =(3x)/(x+3) is x=(2(1+sqrt(10)))/3 ,x=(2(1-sqrt(10)))/3
Solve for x: 4/x =(3x)/(x+3)
The solution is x=(2(1+sqrt(10)))/3 ,x=(2(1-sqrt(10)))/3