What is the answer to 5/(x+10)= x/(3x-1) ?

The answer to 5/(x+10)= x/(3x-1) is x=(5+sqrt(5))/2 ,x=(5-sqrt(5))/2

Solve for x: 5/(x+10)= x/(3x-1)

The solution is x=(5+sqrt(5))/2 ,x=(5-sqrt(5))/2

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\frac{5}{x + 10} = \frac{x}{3 x - 1}

x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

Decimal Notation

x = 3.61803 \dots, x = 1.38196 \dots

Solution steps

\frac{5}{x + 10} = \frac{x}{3 x - 1}

Cross multiply

5 (3 x - 1) = (x + 10) x

Solve

5 (3 x - 1) = (x + 10) x : x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 10, x = \frac{1}{3}

Combine undefined points with solutions:

x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

\frac{x + 2}{7} = \frac{8}{x + 3}

\frac{3}{7 x} = 2

\frac{1}{x + 5} = \frac{2}{3}

- 4 = r^{- 4}

\frac{2 x - 1}{x + 3} = x + 1

What is the answer to 5/(x+10)= x/(3x-1) ?
The answer to 5/(x+10)= x/(3x-1) is x=(5+sqrt(5))/2 ,x=(5-sqrt(5))/2
Solve for x: 5/(x+10)= x/(3x-1)
The solution is x=(5+sqrt(5))/2 ,x=(5-sqrt(5))/2