What is the answer to x/5+3/(x-4)=10 ?

The answer to x/5+3/(x-4)=10 is x=27+sqrt(514),x=27-sqrt(514)

Solve for x: x/5+3/(x-4)=10

The solution is x=27+sqrt(514),x=27-sqrt(514)

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\frac{x}{5} + \frac{3}{x - 4} = 10

x = 27 + 514, x = 27 - 514

Decimal Notation

x = 49.67156 \dots, x = 4.32843 \dots

Solution steps

\frac{x}{5} + \frac{3}{x - 4} = 10

Multiply by LCM

x (x - 4) + 15 = 50 (x - 4)

Solve

x (x - 4) + 15 = 50 (x - 4) : x = 27 + 514, x = 27 - 514

x = 27 + 514, x = 27 - 514

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 27 + 514, x = 27 - 514

22609 = 30256 (1 + x)^{- 5}

x, 5 = \frac{5}{a x} + 1

\frac{7}{7 b + 6} = \frac{2}{b - 6}

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

\frac{2}{y} = \frac{9}{24}

What is the answer to x/5+3/(x-4)=10 ?
The answer to x/5+3/(x-4)=10 is x=27+sqrt(514),x=27-sqrt(514)
Solve for x: x/5+3/(x-4)=10
The solution is x=27+sqrt(514),x=27-sqrt(514)