What is the answer to solvefor x, 9/(u(x)^3)= x/(5u(x)^5) ?

The answer to solvefor x, 9/(u(x)^3)= x/(5u(x)^5) is x= 1/45 ;\quad u\ne 0

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solvefor x, 9/(u(x)^3)= x/(5u(x)^5)

solve for

x, \frac{9}{u ( x ) ^{3}} = \frac{x}{5 u ( x ) ^{5}}

x = \frac{1}{45}; u \neq = 0

Solution steps

\frac{9}{u x ^{3}} = \frac{x}{5 u x ^{5}}

Cross multiply

45 x^{4} u = x^{3} u

Solve

45 x^{4} u = x^{3} u : x = 0, x = \frac{1}{45}; u \neq = 0

x = 0, x = \frac{1}{45}; u \neq = 0

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = \frac{1}{45}; u \neq = 0

x^{2} - 6 x - 24 y - 15 = 0

y = 21 x^{2} + 4 x + 9

10 x + y = - x^{2} + 2

8 x^{2} + 5 x + k (x) = 0

3 x^{2} + 4 y = 12

What is the answer to solvefor x, 9/(u(x)^3)= x/(5u(x)^5) ?
The answer to solvefor x, 9/(u(x)^3)= x/(5u(x)^5) is x= 1/45 ;\quad u\ne 0