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

The answer to 4/x+10= 4/(x-3) is x=(15+sqrt(345))/(10),x=(15-sqrt(345))/(10)

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

The solution is x=(15+sqrt(345))/(10),x=(15-sqrt(345))/(10)

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

x = \frac{15 + 345}{10}, x = \frac{15 - 345}{10}

Decimal Notation

x = 3.35741 \dots, x = - 0.35741 \dots

Solution steps

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

Multiply by LCM

4 (x - 3) + 10 x (x - 3) = 4 x

Solve

4 (x - 3) + 10 x (x - 3) = 4 x : x = \frac{15 + 345}{10}, x = \frac{15 - 345}{10}

x = \frac{15 + 345}{10}, x = \frac{15 - 345}{10}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 3

Combine undefined points with solutions:

x = \frac{15 + 345}{10}, x = \frac{15 - 345}{10}

\frac{3}{7 x - 2} = \frac{9}{3 x + 1}

\frac{3}{x + 2} + \frac{5}{x - 4} = 2

\frac{x}{2 - x} = 6

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

B, 2 = \frac{a}{2 B + q}

What is the answer to 4/x+10= 4/(x-3) ?
The answer to 4/x+10= 4/(x-3) is x=(15+sqrt(345))/(10),x=(15-sqrt(345))/(10)
Solve for x: 4/x+10= 4/(x-3)
The solution is x=(15+sqrt(345))/(10),x=(15-sqrt(345))/(10)