(2x^2-0.21x-0.3675)/(3x-2,17)

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Solution for (2x^2-0.21x-0.3675)/(3x-2,17) equation: 


D( x )

3*x-2.17 = 0

3*x-2.17 = 0

3*x-2.17 = 0

3*x-2.17 = 0 // + 2.17

3*x = 2.17 // : 3

x = 2.17/3

x = 0.72333333

x in (-oo:0.72333333) U (0.72333333:+oo)

(2*x^2-(0.21*x)-0.3675)/(3*x-2.17) = 0

(2*x^2-0.21*x-0.3675)/(3*x-2.17) = 0

2*x^2-0.21*x-0.3675 = 0

2*x^2-0.21*x-0.3675 = 0

DELTA = (-0.21)^2-(-0.3675*2*4)

DELTA = 0.21^2+2.94

DELTA = 2.9841

DELTA > 0

x = ((0.21^2+2.94)^(1/2)+0.21)/(2*2) or x = (0.21-(0.21^2+2.94)^(1/2))/(2*2)

x = ((0.21^2+2.94)^(1/2)+0.21)/4 or x = (0.21-(0.21^2+2.94)^(1/2))/4

(x-((0.21-(0.21^2+2.94)^(1/2))/4))*(x-(((0.21^2+2.94)^(1/2)+0.21)/4)) = 0

((x-((0.21-(0.21^2+2.94)^(1/2))/4))*(x-(((0.21^2+2.94)^(1/2)+0.21)/4)))/(3*x-2.17) = 0

( x-(((0.21^2+2.94)^(1/2)+0.21)/4) )

x-(((0.21^2+2.94)^(1/2)+0.21)/4) = 0 // + ((0.21^2+2.94)^(1/2)+0.21)/4

x = ((0.21^2+2.94)^(1/2)+0.21)/4

( x-((0.21-(0.21^2+2.94)^(1/2))/4) )

x-((0.21-(0.21^2+2.94)^(1/2))/4) = 0 // + (0.21-(0.21^2+2.94)^(1/2))/4

x = (0.21-(0.21^2+2.94)^(1/2))/4

x in { ((0.21^2+2.94)^(1/2)+0.21)/4, (0.21-(0.21^2+2.94)^(1/2))/4 }

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