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

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

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

The solution is x=3+sqrt(10),x=3-sqrt(10)

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

x = 3 + 10, x = 3 - 10

Decimal Notation

x = 6.16227 \dots, x = - 0.16227 \dots

Solution steps

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

Multiply by LCM

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

Solve

5 (x - 4) + 3 (x + 2) = 2 (x + 2) (x - 4) : x = 3 + 10, x = 3 - 10

x = 3 + 10, x = 3 - 10

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 4

Combine undefined points with solutions:

x = 3 + 10, x = 3 - 10

l, E = \frac{a - r l}{l - r}

\frac{1}{n - 8} - 1 = \frac{7}{n - 8}

\frac{1}{x - 2} + 5 = \frac{16}{x - 2}

t, m - 5 n = \frac{f}{t}

\frac{4}{z} = \frac{12}{5}

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