(X+1/4)^2-9/16=0

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Solution for (X+1/4)^2-9/16=0 equation: 


X in (-oo:+oo)

(X+1/4)^2-(9/16) = 0

(X+1/4)^2-9/16 = 0

(16*(X+1/4)^2)/16-9/16 = 0

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

16*X^2+8*X-8 = 0

16*X^2+8*X-8 = 0

8*(2*X^2+X-1) = 0

2*X^2+X-1 = 0

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

DELTA = 9

DELTA > 0

X = (9^(1/2)-1)/(2*2) or X = (-9^(1/2)-1)/(2*2)

X = 1/2 or X = -1

8*(X+1)*(X-1/2) = 0

(8*(X+1)*(X-1/2))/16 = 0

(8*(X+1)*(X-1/2))/16 = 0 // * 16

8*(X+1)*(X-1/2) = 0

( X+1 )

X+1 = 0 // - 1

X = -1

( X-1/2 )

X-1/2 = 0 // + 1/2

X = 1/2

X in { -1, 1/2 }

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