1/4(y+1)2=9/4

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Solution for 1/4(y+1)2=9/4 equation: 


y in (-oo:+oo)

(1/4)*(y+1)^2 = 9/4 // - 9/4

(1/4)*(y+1)^2-(9/4) = 0

(1/4)*(y+1)^2-9/4 = 0

1/4*(y+1)^2-9/4 = 0

(1/4*4*(y+1)^2)/4-9/4 = 0

1/4*4*(y+1)^2-9 = 0

y^2+2*y-8 = 0

y^2+2*y-8 = 0

y^2+2*y-8 = 0

DELTA = 2^2-(-8*1*4)

DELTA = 36

DELTA > 0

y = (36^(1/2)-2)/(1*2) or y = (-36^(1/2)-2)/(1*2)

y = 2 or y = -4

(y+4)*(y-2) = 0

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

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

(y+4)*(y-2) = 0

( y+4 )

y+4 = 0 // - 4

y = -4

( y-2 )

y-2 = 0 // + 2

y = 2

y in { -4, 2 }

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