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Popular >

1/(((x-1)(x-2)))+1/(((x-2)(x-3)))= 2/3

Solution

\frac{1}{( ( x - 1 ) ( x - 2 ) )} + \frac{1}{( ( x - 2 ) ( x - 3 ) )} = \frac{2}{3}

Solution

x = 0, x = 4

Solution steps

\frac{1}{( ( x - 1 ) ( x - 2 ) )} + \frac{1}{( ( x - 2 ) ( x - 3 ) )} = \frac{2}{3}

Multiply by LCM

3 (x - 3) + 3 (x - 1) = 2 (x - 1) (x - 2) (x - 3)

Solve

3 (x - 3) + 3 (x - 1) = 2 (x - 1) (x - 2) (x - 3) : x = 0, x = 2, x = 4

x = 0, x = 2, x = 4

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 2, x = 3

Since the equation is undefined for:

2

x = 0, x = 4

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((x^2+5x+6))/((x+3))=x+7

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Frequently Asked Questions (FAQ)

What is the answer to 1/(((x-1)(x-2)))+1/(((x-2)(x-3)))= 2/3 ?
The answer to 1/(((x-1)(x-2)))+1/(((x-2)(x-3)))= 2/3 is x=0,x=4
Solve for x: 1/(((x-1)(x-2)))+1/(((x-2)(x-3)))= 2/3
The solution is x=0,x=4