What is the answer to ((x)(x))/((0.5-x))=8.3 ?

The answer to ((x)(x))/((0.5-x))=8.3 is x=(-8.3+sqrt(85.49))/2 ,x=(-8.3-sqrt(85.49))/2

Solve for x: ((x)(x))/((0.5-x))=8.3

The solution is x=(-8.3+sqrt(85.49))/2 ,x=(-8.3-sqrt(85.49))/2

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\frac{( x ) ( x )}{( 0.5 - x )} = 8.3

x = \frac{- 8.3 + 85.49}{2}, x = \frac{- 8.3 - 85.49}{2}

Decimal Notation

x = 0.47304 \dots, x = - 8.77304 \dots

Solution steps

\frac{( x ) ( x )}{( 0.5 - x )} = 8.3

Simplify

\frac{( x ) ( x )}{0.5 - x} : \frac{x ^{2}}{0.5 - x}

\frac{x ^{2}}{0.5 - x} = 8.3

Multiply both sides by

0.5 - x

x^{2} = 8.3 (0.5 - x)

Solve

x^{2} = 8.3 (0.5 - x) : x = \frac{- 8.3 + 85.49}{2}, x = \frac{- 8.3 - 85.49}{2}

x = \frac{- 8.3 + 85.49}{2}, x = \frac{- 8.3 - 85.49}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0.5

Combine undefined points with solutions:

x = \frac{- 8.3 + 85.49}{2}, x = \frac{- 8.3 - 85.49}{2}

\frac{3}{4 x - 2} = \frac{5}{7 x + 3}

\frac{3 x + 5}{5 x - 3} = - \frac{3}{5}

2 = \frac{1}{1 + c \cdot e ^{- 1}}

\frac{x}{( 17.7 - x )} = 9.4

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

What is the answer to ((x)(x))/((0.5-x))=8.3 ?
The answer to ((x)(x))/((0.5-x))=8.3 is x=(-8.3+sqrt(85.49))/2 ,x=(-8.3-sqrt(85.49))/2
Solve for x: ((x)(x))/((0.5-x))=8.3
The solution is x=(-8.3+sqrt(85.49))/2 ,x=(-8.3-sqrt(85.49))/2