What is the answer to 726=6((1-r^5)/(1-r)) ?

The answer to 726=6((1-r^5)/(1-r)) is r=3,r\approx-3.52849…

Solve for r: 726=6((1-r^5)/(1-r))

The solution is r=3,r\approx-3.52849…

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726 = 6 (\frac{1 - r ^{5}}{1 - r})

r = 3, r \approx - 3.52849 \dots

Solution steps

726 = 6 (\frac{1 - r ^{5}}{1 - r})

Simplify

6 (\frac{1 - r ^{5}}{1 - r}) : 6 (r^{4} + r^{3} + r^{2} + r + 1)

726 = 6 (r^{4} + r^{3} + r^{2} + r + 1)

Solve

726 = 6 (r^{4} + r^{3} + r^{2} + r + 1) : r = 3, r \approx - 3.52849 \dots

r = 3, r \approx - 3.52849 \dots

Verify Solutions

Find undefined (singularity) points:

r = 1

Combine undefined points with solutions:

r = 3, r \approx - 3.52849 \dots

\frac{x - 9}{x - 8} = \frac{5}{x}

y, x = \frac{2 + a y}{1 + y}

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

50 x - (\frac{1}{100 x}) = 8

\frac{3 ( 9 - 2 x )}{x} = x

What is the answer to 726=6((1-r^5)/(1-r)) ?
The answer to 726=6((1-r^5)/(1-r)) is r=3,r\approx-3.52849…
Solve for r: 726=6((1-r^5)/(1-r))
The solution is r=3,r\approx-3.52849…