What is the inverse of y=5x+6x^2 ?

The inverse of y=5x+6x^2 is (-5+sqrt(25+24x))/(12),(-5-sqrt(25+24x))/(12)

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inverse of y=5x+6x^2

inverse

y = 5 x + 6 x^{2}

\frac{- 5 + 25 + 24 x}{12}, \frac{- 5 - 25 + 24 x}{12}

Solution steps

y = 5 x + 6 x^{2}

Replace

x

with

y

x = 5 y + 6 y^{2}

Solve for

y, x = 5 y + 6 y^{2}

\frac{- 5 + 25 + 24 x}{12}, \frac{- 5 - 25 + 24 x}{12}

f (x) = e^{8 x - 9}

f (x) = \frac{x - 2}{x + 3}

f (x) = e^{- 2 x^{2}}

- \frac{3}{2} cos (3 x - \frac{1}{2}) + 2

f (x) = \frac{x ^{4} - 324}{x ^{2} - 18}

What is the inverse of y=5x+6x^2 ?
The inverse of y=5x+6x^2 is (-5+sqrt(25+24x))/(12),(-5-sqrt(25+24x))/(12)