(2-4y)2/9=4

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Solution for (2-4y)2/9=4 equation: 


y in (-oo:+oo)

((2-(4*y))^2)/9 = 4 // - 4

((2-(4*y))^2)/9-4 = 0

((2-4*y)^2)/9-4 = 0

((2-4*y)^2)/9+(-4*9)/9 = 0

(2-4*y)^2-4*9 = 0

16*y^2-16*y-32 = 0

16*y^2-16*y-32 = 0

16*(y^2-y-2) = 0

y^2-y-2 = 0

DELTA = (-1)^2-(-2*1*4)

DELTA = 9

DELTA > 0

y = (9^(1/2)+1)/(1*2) or y = (1-9^(1/2))/(1*2)

y = 2 or y = -1

16*(y+1)*(y-2) = 0

(16*(y+1)*(y-2))/9 = 0

(16*(y+1)*(y-2))/9 = 0 // * 9

16*(y+1)*(y-2) = 0

( y+1 )

y+1 = 0 // - 1

y = -1

( y-2 )

y-2 = 0 // + 2

y = 2

y in { -1, 2 }

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