What is the answer to 540(3n-6)=(1080)/(3n) ?

The answer to 540(3n-6)=(1080)/(3n) is n=(3+sqrt(11))/3 ,n=(3-sqrt(11))/3

Solve for n: 540(3n-6)=(1080)/(3n)

The solution is n=(3+sqrt(11))/3 ,n=(3-sqrt(11))/3

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540 (3 n - 6) = \frac{1080}{3 n}

n = \frac{3 + 11}{3}, n = \frac{3 - 11}{3}

Decimal Notation

n = 2.10554 \dots, n = - 0.10554 \dots

Solution steps

540 (3 n - 6) = \frac{1080}{3 n}

Simplify

\frac{1080}{3 n} : \frac{360}{n}

540 (3 n - 6) = \frac{360}{n}

Multiply both sides by

n

540 (3 n - 6) n = 360

Solve

540 (3 n - 6) n = 360 : n = \frac{3 + 11}{3}, n = \frac{3 - 11}{3}

n = \frac{3 + 11}{3}, n = \frac{3 - 11}{3}

Verify Solutions

Find undefined (singularity) points:

n = 0

Combine undefined points with solutions:

n = \frac{3 + 11}{3}, n = \frac{3 - 11}{3}

200 = \frac{300}{\frac{20}{x}}

\frac{2}{l} = \frac{5}{7}

\frac{6}{14} = \frac{8}{x}

x + \frac{44}{x} - 15 = 0

3 x^{- 2} - 5 x^{- 1} + 6 = 0

What is the answer to 540(3n-6)=(1080)/(3n) ?
The answer to 540(3n-6)=(1080)/(3n) is n=(3+sqrt(11))/3 ,n=(3-sqrt(11))/3
Solve for n: 540(3n-6)=(1080)/(3n)
The solution is n=(3+sqrt(11))/3 ,n=(3-sqrt(11))/3