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

The answer to 3/(x-2)+2/(x+2)=2 is x=(5+sqrt(105))/4 ,x=(5-sqrt(105))/4

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

The solution is x=(5+sqrt(105))/4 ,x=(5-sqrt(105))/4

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

x = \frac{5 + 105}{4}, x = \frac{5 - 105}{4}

Decimal Notation

x = 3.81173 \dots, x = - 1.31173 \dots

Solution steps

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

Multiply by LCM

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

Solve

3 (x + 2) + 2 (x - 2) = 2 (x - 2) (x + 2) : x = \frac{5 + 105}{4}, x = \frac{5 - 105}{4}

x = \frac{5 + 105}{4}, x = \frac{5 - 105}{4}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 2

Combine undefined points with solutions:

x = \frac{5 + 105}{4}, x = \frac{5 - 105}{4}

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

f^{- 1} (- 2) = 9, f (- 6)

18 (1 0^{- 6}) = \frac{x ^{2}}{1 - x}

\frac{48}{8} = \frac{42}{x}

\frac{z}{3} + \frac{z}{z - 5} = 0

What is the answer to 3/(x-2)+2/(x+2)=2 ?
The answer to 3/(x-2)+2/(x+2)=2 is x=(5+sqrt(105))/4 ,x=(5-sqrt(105))/4
Solve for x: 3/(x-2)+2/(x+2)=2
The solution is x=(5+sqrt(105))/4 ,x=(5-sqrt(105))/4