What is the answer to (x-2)/4 = 7/(x+2) ?

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

Solve for x: (x-2)/4 = 7/(x+2)

The solution is x=4sqrt(2),x=-4sqrt(2)

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

x = 42, x = - 42

Decimal

x = 5.65685 \dots, x = - 5.65685 \dots

Solution steps

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

Cross multiply

(x - 2) (x + 2) = 28

Solve

(x - 2) (x + 2) = 28 : x = 42, x = - 42

x = 42, x = - 42

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = 42, x = - 42

\frac{6}{y + 2} + \frac{1}{y - 2} = 1

n, \frac{n + 7}{n - 4} = 2 s

\frac{2 k + 1}{k - 3} = \frac{2}{5}

\frac{3 x}{x ^{2} + 5 x - 1} = 0

\frac{( 1 + x ) ( x )}{5 - x} = 0.255

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