What is the answer to (10+x)/((1-x)^2)=5 ?

The answer to (10+x)/((1-x)^2)=5 is x=(11+sqrt(221))/(10),x=(11-sqrt(221))/(10)

Solve for x: (10+x)/((1-x)^2)=5

The solution is x=(11+sqrt(221))/(10),x=(11-sqrt(221))/(10)

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\frac{10 + x}{( 1 - x ) ^{2}} = 5

x = \frac{11 + 221}{10}, x = \frac{11 - 221}{10}

Decimal Notation

x = 2.58660 \dots, x = - 0.38660 \dots

Solution steps

\frac{10 + x}{( 1 - x ) ^{2}} = 5

Multiply both sides by

(1 - x)^{2}

10 + x = 5 (1 - x)^{2}

Solve

10 + x = 5 (1 - x)^{2} : x = \frac{11 + 221}{10}, x = \frac{11 - 221}{10}

x = \frac{11 + 221}{10}, x = \frac{11 - 221}{10}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{11 + 221}{10}, x = \frac{11 - 221}{10}

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

a, g = - 4 b + \frac{10}{a}

\frac{27}{x} = - 3

\frac{18 - 5 x}{2 x + 2} = \frac{7}{3}

\frac{3}{n + 1} = \frac{4}{n + 4}

What is the answer to (10+x)/((1-x)^2)=5 ?
The answer to (10+x)/((1-x)^2)=5 is x=(11+sqrt(221))/(10),x=(11-sqrt(221))/(10)
Solve for x: (10+x)/((1-x)^2)=5
The solution is x=(11+sqrt(221))/(10),x=(11-sqrt(221))/(10)