What is the inverse of 9x^2+5x+2 ?

The inverse of 9x^2+5x+2 is (-5+sqrt(36x-47))/(18),(-5-sqrt(36x-47))/(18)

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inverse of 9x^2+5x+2

inverse

9 x^{2} + 5 x + 2

\frac{- 5 + 36 x - 47}{18}, \frac{- 5 - 36 x - 47}{18}

Solution steps

y = 9 x^{2} + 5 x + 2

Replace

x

with

y

x = 9 y^{2} + 5 y + 2

Solve for

y, x = 9 y^{2} + 5 y + 2

\frac{- 5 + 36 x - 47}{18}, \frac{- 5 - 36 x - 47}{18}

What is the inverse of 9x^2+5x+2 ?
The inverse of 9x^2+5x+2 is (-5+sqrt(36x-47))/(18),(-5-sqrt(36x-47))/(18)