What is the answer to (5x)/2+4/(x+8)=1 ?

The answer to (5x)/2+4/(x+8)=1 is x=(-19+sqrt(401))/5 ,x=-(19+sqrt(401))/5

Solve for x: (5x)/2+4/(x+8)=1

The solution is x=(-19+sqrt(401))/5 ,x=-(19+sqrt(401))/5

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\frac{5 x}{2} + \frac{4}{x + 8} = 1

x = \frac{- 19 + 401}{5}, x = - \frac{19 + 401}{5}

Decimal Notation

x = 0.20499 \dots, x = - 7.80499 \dots

Solution steps

\frac{5 x}{2} + \frac{4}{x + 8} = 1

Multiply by LCM

5 x (x + 8) + 8 = 2 (x + 8)

Solve

5 x (x + 8) + 8 = 2 (x + 8) : x = \frac{- 19 + 401}{5}, x = - \frac{19 + 401}{5}

x = \frac{- 19 + 401}{5}, x = - \frac{19 + 401}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 8

Combine undefined points with solutions:

x = \frac{- 19 + 401}{5}, x = - \frac{19 + 401}{5}

\frac{2 x + 2}{2} = \frac{50}{2 x + 2}

\frac{x}{x - 2} = \frac{x}{x - 2}

\frac{t + 13}{t - 2} = t - 3, - 1

\frac{4}{24} = \frac{10}{x}

x, f (x + h) = \frac{1}{x}

What is the answer to (5x)/2+4/(x+8)=1 ?
The answer to (5x)/2+4/(x+8)=1 is x=(-19+sqrt(401))/5 ,x=-(19+sqrt(401))/5
Solve for x: (5x)/2+4/(x+8)=1
The solution is x=(-19+sqrt(401))/5 ,x=-(19+sqrt(401))/5