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

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Solution for 1/4x^2-(x-1)^2 equation: 


x in (-oo:+oo)

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

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

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

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

8*x-3*x^2-4 = 0

8*x-3*x^2-4 = 0

8*x-3*x^2-4 = 0

DELTA = 8^2-(-4*(-3)*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)-8)/(-3*2) or x = (-16^(1/2)-8)/(-3*2)

x = 2/3 or x = 2

(x-2/3)*(x-2) = 0

((x-2/3)*(x-2))/4 = 0

((x-2/3)*(x-2))/4 = 0 // * 4

(x-2/3)*(x-2) = 0

( x-2/3 )

x-2/3 = 0 // + 2/3

x = 2/3

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 2/3, 2 }

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