What is the inverse of 4x^2-24x+11 ?

The inverse of 4x^2-24x+11 is (6+sqrt(x+25))/2 ,(6-sqrt(x+25))/2

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inverse of 4x^2-24x+11

inverse

4 x^{2} - 24 x + 11

\frac{6 + x + 25}{2}, \frac{6 - x + 25}{2}

Solution steps

y = 4 x^{2} - 24 x + 11

Replace

x

with

y

x = 4 y^{2} - 24 y + 11

Solve for

y, x = 4 y^{2} - 24 y + 11

\frac{6 + x + 25}{2}, \frac{6 - x + 25}{2}

What is the inverse of 4x^2-24x+11 ?
The inverse of 4x^2-24x+11 is (6+sqrt(x+25))/2 ,(6-sqrt(x+25))/2