What is the answer to (10)/x-3/(x+5)=1 ?

The answer to (10)/x-3/(x+5)=1 is x=1+sqrt(51),x=1-sqrt(51)

Solve for x: (10)/x-3/(x+5)=1

The solution is x=1+sqrt(51),x=1-sqrt(51)

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\frac{10}{x} - \frac{3}{x + 5} = 1

x = 1 + 51, x = 1 - 51

Decimal Notation

x = 8.14142 \dots, x = - 6.14142 \dots

Solution steps

\frac{10}{x} - \frac{3}{x + 5} = 1

Multiply by LCM

10 (x + 5) - 3 x = x (x + 5)

Solve

10 (x + 5) - 3 x = x (x + 5) : x = 1 + 51, x = 1 - 51

x = 1 + 51, x = 1 - 51

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 5

Combine undefined points with solutions:

x = 1 + 51, x = 1 - 51

x, - \frac{4}{3 x} = 3 p - 3 n

8 - \frac{6}{x} = 5 + \frac{12}{x}

\frac{1}{x} - \frac{1}{2 ( 9 - x )} = 0

y, x = \frac{1 - y}{9 - 12 y}

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

What is the answer to (10)/x-3/(x+5)=1 ?
The answer to (10)/x-3/(x+5)=1 is x=1+sqrt(51),x=1-sqrt(51)
Solve for x: (10)/x-3/(x+5)=1
The solution is x=1+sqrt(51),x=1-sqrt(51)