(1-2x)x/(2x-1)=0.12

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Solution for (1-2x)x/(2x-1)=0.12 equation:


D( x )

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x in (-oo:1/2) U (1/2:+oo)

(x*(1-(2*x)))/(2*x-1) = 0.12 // - 0.12

(x*(1-(2*x)))/(2*x-1)-0.12 = 0

(x*(1-2*x))/(2*x-1)-0.12 = 0

(x*(1-2*x))/(2*x-1)+(-0.12*(2*x-1))/(2*x-1) = 0

x*(1-2*x)-0.12*(2*x-1) = 0

0.76*x-2*x^2+0.12 = 0

0.76*x-2*x^2+0.12 = 0

0.76*x-2*x^2+0.12 = 0

DELTA = 0.76^2-(-2*0.12*4)

DELTA = 0.76^2+0.96

DELTA = 1.5376

DELTA > 0

x = ((0.76^2+0.96)^(1/2)-0.76)/(-2*2) or x = (-(0.76^2+0.96)^(1/2)-0.76)/(-2*2)

x = ((0.76^2+0.96)^(1/2)-0.76)/(-4) or x = ((0.76^2+0.96)^(1/2)+0.76)/4

(x-(((0.76^2+0.96)^(1/2)-0.76)/(-4)))*(x-(((0.76^2+0.96)^(1/2)+0.76)/4)) = 0

((x-(((0.76^2+0.96)^(1/2)-0.76)/(-4)))*(x-(((0.76^2+0.96)^(1/2)+0.76)/4)))/(2*x-1) = 0

((x-(((0.76^2+0.96)^(1/2)-0.76)/(-4)))*(x-(((0.76^2+0.96)^(1/2)+0.76)/4)))/(2*x-1) = 0 // * 2*x-1

(x-(((0.76^2+0.96)^(1/2)-0.76)/(-4)))*(x-(((0.76^2+0.96)^(1/2)+0.76)/4)) = 0

( x-(((0.76^2+0.96)^(1/2)+0.76)/4) )

x-(((0.76^2+0.96)^(1/2)+0.76)/4) = 0 // + ((0.76^2+0.96)^(1/2)+0.76)/4

x = ((0.76^2+0.96)^(1/2)+0.76)/4

( x-(((0.76^2+0.96)^(1/2)-0.76)/(-4)) )

x-(((0.76^2+0.96)^(1/2)-0.76)/(-4)) = 0 // + ((0.76^2+0.96)^(1/2)-0.76)/(-4)

x = ((0.76^2+0.96)^(1/2)-0.76)/(-4)

x in { ((0.76^2+0.96)^(1/2)+0.76)/4}

x = ((0.76^2+0.96)^(1/2)-0.76)/(-4)

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