What is the answer to x/(x+6)= 4/(x-4) ?

The answer to x/(x+6)= 4/(x-4) is x=2(2+sqrt(10)),x=2(2-sqrt(10))

Solve for x: x/(x+6)= 4/(x-4)

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

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\frac{x}{x + 6} = \frac{4}{x - 4}

x = 2 (2 + 10), x = 2 (2 - 10)

Decimal Notation

x = 10.32455 \dots, x = - 2.32455 \dots

Solution steps

\frac{x}{x + 6} = \frac{4}{x - 4}

Cross multiply

x (x - 4) = (x + 6) \cdot 4

Solve

x (x - 4) = (x + 6) \cdot 4 : x = 2 (2 + 10), x = 2 (2 - 10)

x = 2 (2 + 10), x = 2 (2 - 10)

Verify Solutions

Find undefined (singularity) points:

x = - 6, x = 4

Combine undefined points with solutions:

x = 2 (2 + 10), x = 2 (2 - 10)

\frac{t - 1}{1 - t} = \frac{3}{2}

5 x - \frac{10}{x} = 4

x, \frac{m}{x} = n - p

\frac{- 7}{7 p - 8} = \frac{1}{p - 1}

\frac{c + 1}{c - 2} = \frac{4}{7}

What is the answer to x/(x+6)= 4/(x-4) ?
The answer to x/(x+6)= 4/(x-4) is x=2(2+sqrt(10)),x=2(2-sqrt(10))
Solve for x: x/(x+6)= 4/(x-4)
The solution is x=2(2+sqrt(10)),x=2(2-sqrt(10))