1/2=(x-1)^2

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Solution for 1/2=(x-1)^2 equation: 


x in (-oo:+oo)

1/2 = (x-1)^2 // - (x-1)^2

1/2-(x-1)^2 = 0

1/2-1*(x-1)^2 = 0

(-1*2*(x-1)^2)/2+1/2 = 0

1-1*2*(x-1)^2 = 0

4*x-2*x^2-1 = 0

4*x-2*x^2-1 = 0

4*x-2*x^2-1 = 0

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

DELTA = 8

DELTA > 0

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

x = (2*2^(1/2)-4)/(-4) or x = (-2*2^(1/2)-4)/(-4)

(x-((2*2^(1/2)-4)/(-4)))*(x-((-2*2^(1/2)-4)/(-4))) = 0

((x-((2*2^(1/2)-4)/(-4)))*(x-((-2*2^(1/2)-4)/(-4))))/2 = 0

((x-((2*2^(1/2)-4)/(-4)))*(x-((-2*2^(1/2)-4)/(-4))))/2 = 0 // * 2

(x-((2*2^(1/2)-4)/(-4)))*(x-((-2*2^(1/2)-4)/(-4))) = 0

( x-((-2*2^(1/2)-4)/(-4)) )

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

x = (-2*2^(1/2)-4)/(-4)

( x-((2*2^(1/2)-4)/(-4)) )

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

x = (2*2^(1/2)-4)/(-4)

x in { (-2*2^(1/2)-4)/(-4), (2*2^(1/2)-4)/(-4) }

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