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

The answer to 2/x-1/(x+3)=1 is x=-1+sqrt(7),x=-1-sqrt(7)

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

The solution is x=-1+sqrt(7),x=-1-sqrt(7)

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

x = - 1 + 7, x = - 1 - 7

Decimal Notation

x = 1.64575 \dots, x = - 3.64575 \dots

Solution steps

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

Multiply by LCM

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

Solve

2 (x + 3) - x = x (x + 3) : x = - 1 + 7, x = - 1 - 7

x = - 1 + 7, x = - 1 - 7

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 3

Combine undefined points with solutions:

x = - 1 + 7, x = - 1 - 7

\frac{3 x + 1}{( 3 x + 1 ) ^{2} + 25} = 0

- \frac{1}{3} = \frac{1}{1 + c}

\frac{20}{x - 1} = \frac{25}{x}

\frac{3}{8} = \frac{12}{x}

11 x^{- 2} - 35 x^{- 1} + 6 = 0

What is the answer to 2/x-1/(x+3)=1 ?
The answer to 2/x-1/(x+3)=1 is x=-1+sqrt(7),x=-1-sqrt(7)
Solve for x: 2/x-1/(x+3)=1
The solution is x=-1+sqrt(7),x=-1-sqrt(7)