What is the answer to ((1+x)(x))/(5-x)=0.255 ?

The answer to ((1+x)(x))/(5-x)=0.255 is x=(-251+7sqrt(5449))/(400),x=-(251+7sqrt(5449))/(400)

Solve for x: ((1+x)(x))/(5-x)=0.255

The solution is x=(-251+7sqrt(5449))/(400),x=-(251+7sqrt(5449))/(400)

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

x = \frac{- 251 + 7 5449}{400}, x = - \frac{251 + 7 5449}{400}

Decimal Notation

x = 0.66430 \dots, x = - 1.91930 \dots

Solution steps

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

Simplify

\frac{( 1 + x ) ( x )}{5 - x} : \frac{x ( 1 + x )}{5 - x}

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

Multiply both sides by

5 - x

x (1 + x) = 0.255 (5 - x)

Solve

x (1 + x) = 0.255 (5 - x) : x = \frac{- 251 + 7 5449}{400}, x = - \frac{251 + 7 5449}{400}

x = \frac{- 251 + 7 5449}{400}, x = - \frac{251 + 7 5449}{400}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = \frac{- 251 + 7 5449}{400}, x = - \frac{251 + 7 5449}{400}

\frac{2 π}{b} = 2

\frac{2 π}{b} = 8

- 1 = \frac{1}{x}

\frac{11}{7} = \frac{p}{p - 2}

\frac{15}{x} = \frac{3}{2}

What is the answer to ((1+x)(x))/(5-x)=0.255 ?
The answer to ((1+x)(x))/(5-x)=0.255 is x=(-251+7sqrt(5449))/(400),x=-(251+7sqrt(5449))/(400)
Solve for x: ((1+x)(x))/(5-x)=0.255
The solution is x=(-251+7sqrt(5449))/(400),x=-(251+7sqrt(5449))/(400)