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D( x )
5*x-1 = 0
5*x-1 = 0
5*x-1 = 0
5*x-1 = 0 // + 1
5*x = 1 // : 5
x = 1/5
x in (-oo:1/5) U (1/5:+oo)
(2*(5*x-1)^-2)/3 = 8 // - 8
(2*(5*x-1)^-2)/3-8 = 0
2/(3*(5*x-1)^2)-8 = 0
2/(3*(5*x-1)^2)+(-8*3*(5*x-1)^2)/(3*(5*x-1)^2) = 0
2-8*3*(5*x-1)^2 = 0
240*x-600*x^2-22 = 0
240*x-600*x^2-22 = 0
2*(120*x-300*x^2-11) = 0
120*x-300*x^2-11 = 0
DELTA = 120^2-(-300*(-11)*4)
DELTA = 1200
DELTA > 0
x = (1200^(1/2)-120)/(-300*2) or x = (-1200^(1/2)-120)/(-300*2)
x = (20*3^(1/2)-120)/(-600) or x = (-20*3^(1/2)-120)/(-600)
2*(x-((20*3^(1/2)-120)/(-600)))*(x-((-20*3^(1/2)-120)/(-600))) = 0
(2*(x-((20*3^(1/2)-120)/(-600)))*(x-((-20*3^(1/2)-120)/(-600))))/(3*(5*x-1)^2) = 0
(2*(x-((20*3^(1/2)-120)/(-600)))*(x-((-20*3^(1/2)-120)/(-600))))/(3*(5*x-1)^2) = 0 // * 3*(5*x-1)^2
2*(x-((20*3^(1/2)-120)/(-600)))*(x-((-20*3^(1/2)-120)/(-600))) = 0
( 2 )
2 = 0
x belongs to the empty set
( x-((-20*3^(1/2)-120)/(-600)) )
x-((-20*3^(1/2)-120)/(-600)) = 0 // + (-20*3^(1/2)-120)/(-600)
x = (-20*3^(1/2)-120)/(-600)
( x-((20*3^(1/2)-120)/(-600)) )
x-((20*3^(1/2)-120)/(-600)) = 0 // + (20*3^(1/2)-120)/(-600)
x = (20*3^(1/2)-120)/(-600)
x in { (-20*3^(1/2)-120)/(-600), (20*3^(1/2)-120)/(-600) }
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