(2x-1/2)(3x-1/2)=1/4+x(4x-1/2)
6x²-x-3/2x+1/4=1/4+4x²-1/2x
6x²-5/2x+1/4=1/4+4x²-1/2x
6x²-4x²-5/2x+1/2x+1/4-1/4=0
2x²-2x=0 |:2
x²-x=0
x(x-1)=0
x=0 ∨ x-1=0
x=0 ∨ x=1
x∈{0,1}
Odpowiedź:
(2x - 1/2)(3x - 1/2)=1/4+x(4x - 1/2)
6x^2 - x - 3/2x+1/4=1/4+4x^2 - 1/2x
6x^2 - 4x^2 - x - 3/2x+1/2x=1/4 - 1/4
2x^2 - 2x=0
2x(x - 1)=0
2x=0 x=0
x - 1=0 x=1
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(2x-1/2)(3x-1/2)=1/4+x(4x-1/2)
6x²-x-3/2x+1/4=1/4+4x²-1/2x
6x²-5/2x+1/4=1/4+4x²-1/2x
6x²-4x²-5/2x+1/2x+1/4-1/4=0
2x²-2x=0 |:2
x²-x=0
x(x-1)=0
x=0 ∨ x-1=0
x=0 ∨ x=1
x∈{0,1}
Odpowiedź:
(2x - 1/2)(3x - 1/2)=1/4+x(4x - 1/2)
6x^2 - x - 3/2x+1/4=1/4+4x^2 - 1/2x
6x^2 - 4x^2 - x - 3/2x+1/2x=1/4 - 1/4
2x^2 - 2x=0
2x(x - 1)=0
2x=0 x=0
x - 1=0 x=1
Szczegółowe wyjaśnienie: