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

The answer to 4/(x-3)+x/2 =-2 is x=(-1+sqrt(17))/2 ,x=(-1-sqrt(17))/2

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

The solution is x=(-1+sqrt(17))/2 ,x=(-1-sqrt(17))/2

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

x = \frac{- 1 + 17}{2}, x = \frac{- 1 - 17}{2}

Decimal Notation

x = 1.56155 \dots, x = - 2.56155 \dots

Solution steps

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

Multiply by LCM

8 + x (x - 3) = - 4 (x - 3)

Solve

8 + x (x - 3) = - 4 (x - 3) : x = \frac{- 1 + 17}{2}, x = \frac{- 1 - 17}{2}

x = \frac{- 1 + 17}{2}, x = \frac{- 1 - 17}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{- 1 + 17}{2}, x = \frac{- 1 - 17}{2}

\frac{7}{x} = \frac{21}{9}

\frac{5}{x} + \frac{1}{3 x} = \frac{4 x}{3}

y, x = \frac{1}{y}

\frac{n + 5}{n + 8} = 1 + \frac{6}{n + 1}

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

What is the answer to 4/(x-3)+x/2 =-2 ?
The answer to 4/(x-3)+x/2 =-2 is x=(-1+sqrt(17))/2 ,x=(-1-sqrt(17))/2
Solve for x: 4/(x-3)+x/2 =-2
The solution is x=(-1+sqrt(17))/2 ,x=(-1-sqrt(17))/2