What is the answer to 2/x-(14)/(x+24)=1 ?

The answer to 2/x-(14)/(x+24)=1 is x=2(sqrt(93)-9),x=-2(9+sqrt(93))

Solve for x: 2/x-(14)/(x+24)=1

The solution is x=2(sqrt(93)-9),x=-2(9+sqrt(93))

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\frac{2}{x} - \frac{14}{x + 24} = 1

x = 2 (93 - 9), x = - 2 (9 + 93)

Decimal Notation

x = 1.28730 \dots, x = - 37.28730 \dots

Solution steps

\frac{2}{x} - \frac{14}{x + 24} = 1

Multiply by LCM

2 (x + 24) - 14 x = x (x + 24)

Solve

2 (x + 24) - 14 x = x (x + 24) : x = 2 (93 - 9), x = - 2 (9 + 93)

x = 2 (93 - 9), x = - 2 (9 + 93)

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 24

Combine undefined points with solutions:

x = 2 (93 - 9), x = - 2 (9 + 93)

\frac{1}{2} = \frac{3 - 2 x}{4 x - 6}

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

x \frac{8}{a x} - 5 = - 3

2 = \frac{x + 11}{x - 12}

\frac{- 2 + 2 x}{x ^{2} - 1} = 0

What is the answer to 2/x-(14)/(x+24)=1 ?
The answer to 2/x-(14)/(x+24)=1 is x=2(sqrt(93)-9),x=-2(9+sqrt(93))
Solve for x: 2/x-(14)/(x+24)=1
The solution is x=2(sqrt(93)-9),x=-2(9+sqrt(93))