(y+1)^2=9/4

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


y in (-oo:+oo)

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

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

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

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

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

4*y^2+8*y-5 = 0

4*y^2+8*y-5 = 0

4*y^2+8*y-5 = 0

DELTA = 8^2-(-5*4*4)

DELTA = 144

DELTA > 0

y = (144^(1/2)-8)/(2*4) or y = (-144^(1/2)-8)/(2*4)

y = 1/2 or y = -5/2

(y+5/2)*(y-1/2) = 0

((y+5/2)*(y-1/2))/4 = 0

((y+5/2)*(y-1/2))/4 = 0 // * 4

(y+5/2)*(y-1/2) = 0

( y+5/2 )

y+5/2 = 0 // - 5/2

y = -5/2

( y-1/2 )

y-1/2 = 0 // + 1/2

y = 1/2

y in { -5/2, 1/2 }

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