What is the answer to 3/x =(1+(x-13))/6 ?

The answer to 3/x =(1+(x-13))/6 is x=3(2+sqrt(6)),x=3(2-sqrt(6))

Solve for x: 3/x =(1+(x-13))/6

The solution is x=3(2+sqrt(6)),x=3(2-sqrt(6))

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\frac{3}{x} = \frac{1 + ( x - 13 )}{6}

x = 3 (2 + 6), x = 3 (2 - 6)

Decimal Notation

x = 13.34846 \dots, x = - 1.34846 \dots

Solution steps

\frac{3}{x} = \frac{1 + ( x - 13 )}{6}

Cross multiply

18 = x (x - 12)

Solve

18 = x (x - 12) : x = 3 (2 + 6), x = 3 (2 - 6)

x = 3 (2 + 6), x = 3 (2 - 6)

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3 (2 + 6), x = 3 (2 - 6)

x^{- 1} (x^{2} + x + 1) = \frac{13}{3}

\frac{4}{7} = \frac{5}{t + 1}

5 = (3 a - 2)^{- 1}

2 + \frac{1}{x + 4} = 0

\frac{12}{3} = \frac{36}{x}

What is the answer to 3/x =(1+(x-13))/6 ?
The answer to 3/x =(1+(x-13))/6 is x=3(2+sqrt(6)),x=3(2-sqrt(6))
Solve for x: 3/x =(1+(x-13))/6
The solution is x=3(2+sqrt(6)),x=3(2-sqrt(6))