What is the answer to 4=(x^2)/((3-x)(1-x)) ?

The answer to 4=(x^2)/((3-x)(1-x)) is x=(2(4+sqrt(7)))/3 ,x=(2(4-sqrt(7)))/3

Solve for x: 4=(x^2)/((3-x)(1-x))

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

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4 = \frac{x ^{2}}{( 3 - x ) ( 1 - x )}

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

Decimal Notation

x = 4.43050 \dots, x = 0.90283 \dots

Solution steps

4 = \frac{x ^{2}}{( 3 - x ) ( 1 - x )}

Multiply both sides by

(3 - x) (1 - x)

4 (3 - x) (1 - x) = x^{2}

Solve

4 (3 - x) (1 - x) = x^{2} : 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 = 1

Combine undefined points with solutions:

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

\frac{21}{x} = 3

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

x - \frac{2 x + 21}{x ^{2} - x + 3} = 5

\frac{5 x - 2}{x ^{2} + 4} = 1

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

What is the answer to 4=(x^2)/((3-x)(1-x)) ?
The answer to 4=(x^2)/((3-x)(1-x)) is x=(2(4+sqrt(7)))/3 ,x=(2(4-sqrt(7)))/3
Solve for x: 4=(x^2)/((3-x)(1-x))
The solution is x=(2(4+sqrt(7)))/3 ,x=(2(4-sqrt(7)))/3