What is the inverse of 2x^2-12x+13 ?

The inverse of 2x^2-12x+13 is (12+sqrt(8x+40))/4 ,(12-sqrt(8x+40))/4

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inverse of 2x^2-12x+13

inverse

2 x^{2} - 12 x + 13

\frac{12 + 8 x + 40}{4}, \frac{12 - 8 x + 40}{4}

Solution steps

y = 2 x^{2} - 12 x + 13

Replace

x

with

y

x = 2 y^{2} - 12 y + 13

Solve for

y, x = 2 y^{2} - 12 y + 13

\frac{12 + 8 x + 40}{4}, \frac{12 - 8 x + 40}{4}

What is the inverse of 2x^2-12x+13 ?
The inverse of 2x^2-12x+13 is (12+sqrt(8x+40))/4 ,(12-sqrt(8x+40))/4