What is the answer to 5/(x+2)+x/(x+3)=3 ?

The answer to 5/(x+2)+x/(x+3)=3 is x=-(4+sqrt(10))/2 ,x=-(4-sqrt(10))/2

Solve for x: 5/(x+2)+x/(x+3)=3

The solution is x=-(4+sqrt(10))/2 ,x=-(4-sqrt(10))/2

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\frac{5}{x + 2} + \frac{x}{x + 3} = 3

x = - \frac{4 + 10}{2}, x = - \frac{4 - 10}{2}

Decimal Notation

x = - 3.58113 \dots, x = - 0.41886 \dots

Solution steps

\frac{5}{x + 2} + \frac{x}{x + 3} = 3

Multiply by LCM

5 (x + 3) + x (x + 2) = 3 (x + 2) (x + 3)

Solve

5 (x + 3) + x (x + 2) = 3 (x + 2) (x + 3) : x = - \frac{4 + 10}{2}, x = - \frac{4 - 10}{2}

x = - \frac{4 + 10}{2}, x = - \frac{4 - 10}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = - 3

Combine undefined points with solutions:

x = - \frac{4 + 10}{2}, x = - \frac{4 - 10}{2}

x, \frac{x + 1}{x - 3} = y - 4

2 x^{- 2} - 19 x^{- 1} + 42 = 0

\frac{1}{2 x + 1} + \frac{3}{4} = 1

\frac{7}{x - 1} = \frac{4}{x - 6}

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

What is the answer to 5/(x+2)+x/(x+3)=3 ?
The answer to 5/(x+2)+x/(x+3)=3 is x=-(4+sqrt(10))/2 ,x=-(4-sqrt(10))/2
Solve for x: 5/(x+2)+x/(x+3)=3
The solution is x=-(4+sqrt(10))/2 ,x=-(4-sqrt(10))/2