What is the answer to 4/(x-2)+1/(x+3)=5 ?

The answer to 4/(x-2)+1/(x+3)=5 is x=2sqrt(2),x=-2sqrt(2)

Solve for x: 4/(x-2)+1/(x+3)=5

The solution is x=2sqrt(2),x=-2sqrt(2)

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\frac{4}{x - 2} + \frac{1}{x + 3} = 5

x = 22, x = - 22

Decimal Notation

x = 2.82842 \dots, x = - 2.82842 \dots

Solution steps

\frac{4}{x - 2} + \frac{1}{x + 3} = 5

Multiply by LCM

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

Solve

4 (x + 3) + x - 2 = 5 (x - 2) (x + 3) : x = 22, x = - 22

x = 22, x = - 22

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 3

Combine undefined points with solutions:

x = 22, x = - 22

\frac{5}{x} - 2 = 10 - x

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

x^{- 2} + 7 x^{- 1} - 18 = 0

\frac{100}{x} = 60

\frac{100}{x} = 80

What is the answer to 4/(x-2)+1/(x+3)=5 ?
The answer to 4/(x-2)+1/(x+3)=5 is x=2sqrt(2),x=-2sqrt(2)
Solve for x: 4/(x-2)+1/(x+3)=5
The solution is x=2sqrt(2),x=-2sqrt(2)