What is the inverse of 2(x-a)(x+2a) ?

The inverse of 2(x-a)(x+2a) is (-a+sqrt(2x+9a^2))/2 ,-(a+sqrt(2x+9a^2))/2

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inverse of 2(x-a)(x+2a)

inverse

2 (x - a) (x + 2 a)

\frac{- a + 2 x + 9 a ^{2}}{2}, - \frac{a + 2 x + 9 a ^{2}}{2}

Solution steps

y = 2 (x - a) (x + 2 a)

Replace

x

with

y

x = 2 (y - a) (y + 2 a)

Solve for

y, x = 2 (y - a) (y + 2 a)

\frac{- a + 2 x + 9 a ^{2}}{2}, - \frac{a + 2 x + 9 a ^{2}}{2}

What is the inverse of 2(x-a)(x+2a) ?
The inverse of 2(x-a)(x+2a) is (-a+sqrt(2x+9a^2))/2 ,-(a+sqrt(2x+9a^2))/2