What is the inverse of 5x+5/x ?

The inverse of 5x+5/x is (x+sqrt(x^2-100))/(10),(x-sqrt(x^2-100))/(10)

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inverse of 5x+5/x

inverse

5 x + \frac{5}{x}

\frac{x + x ^{2} - 100}{10}, \frac{x - x ^{2} - 100}{10}

Solution steps

y = 5 x + \frac{5}{x}

Replace

x

with

y

x = 5 y + \frac{5}{y}

Solve for

y, x = 5 y + \frac{5}{y}

\frac{x + x ^{2} - 100}{10}, \frac{x - x ^{2} - 100}{10}

What is the inverse of 5x+5/x ?
The inverse of 5x+5/x is (x+sqrt(x^2-100))/(10),(x-sqrt(x^2-100))/(10)