What is the answer to (x^2)/(3-x)=7 ?

The answer to (x^2)/(3-x)=7 is x=(-7+sqrt(133))/2 ,x=(-7-sqrt(133))/2

Solve for x: (x^2)/(3-x)=7

The solution is x=(-7+sqrt(133))/2 ,x=(-7-sqrt(133))/2

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\frac{x ^{2}}{3 - x} = 7

x = \frac{- 7 + 133}{2}, x = \frac{- 7 - 133}{2}

Decimal Notation

x = 2.26628 \dots, x = - 9.26628 \dots

Solution steps

\frac{x ^{2}}{3 - x} = 7

Multiply both sides by

3 - x

x^{2} = 7 (3 - x)

Solve

x^{2} = 7 (3 - x) : x = \frac{- 7 + 133}{2}, x = \frac{- 7 - 133}{2}

x = \frac{- 7 + 133}{2}, x = \frac{- 7 - 133}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{- 7 + 133}{2}, x = \frac{- 7 - 133}{2}

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

16.1 = (1.8 - 1) \cdot \frac{2}{x}

x - \frac{8}{x - 4} = 11

y, x = \frac{5 y + 1}{2 y - 3}

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

What is the answer to (x^2)/(3-x)=7 ?
The answer to (x^2)/(3-x)=7 is x=(-7+sqrt(133))/2 ,x=(-7-sqrt(133))/2
Solve for x: (x^2)/(3-x)=7
The solution is x=(-7+sqrt(133))/2 ,x=(-7-sqrt(133))/2