(0.15-0.06)/(x)(0.04)+(1-x)(0.02)=(0.14-0.06)/(x)(0.02)+(1-x)(0.08)

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Solution for (0.15-0.06)/(x)(0.04)+(1-x)(0.02)=(0.14-0.06)/(x)(0.02)+(1-x)(0.08) equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

0.02*(1-x)+0.04*((0.15-0.06)/x) = 0.08*(1-x)+0.02*((0.14-0.06)/x) // - 0.08*(1-x)+0.02*((0.14-0.06)/x)

0.02*(1-x)-(0.08*(1-x))+0.04*((0.15-0.06)/x)-(0.02*((0.14-0.06)/x)) = 0

0.02*(1-x)-0.08*(1-x)+0.04*((0.15-0.06)/x)-0.02*(0.14-0.06)*x^-1 = 0

0.02*(1-x)-0.08*(1-x)+0.0036/x-0.0016/x = 0

(0.02*x*(1-x))/x+(-0.08*x*(1-x))/x+0.0036/x-0.0016/x = 0

0.02*x*(1-x)-0.08*x*(1-x)-0.0016+0.0036 = 0

0.06*x^2-0.06*x-0.0016+0.0036 = 0

0.06*x^2-0.06*x+0.002 = 0

0.06*x^2-0.06*x+0.002 = 0

0.06*x^2-0.06*x+0.002 = 0

DELTA = (-0.06)^2-(0.002*0.06*4)

DELTA = 0.06^2-0.00048

DELTA = 0.00312

DELTA > 0

x = ((0.06^2-0.00048)^(1/2)+0.06)/(0.06*2) or x = (0.06-(0.06^2-0.00048)^(1/2))/(0.06*2)

x = 8.33333333*((0.06^2-0.00048)^(1/2)+0.06) or x = 8.33333333*(0.06-(0.06^2-0.00048)^(1/2))

(x-8.33333333*(0.06-(0.06^2-0.00048)^(1/2)))*(x-8.33333333*((0.06^2-0.00048)^(1/2)+0.06)) = 0

((x-8.33333333*(0.06-(0.06^2-0.00048)^(1/2)))*(x-8.33333333*((0.06^2-0.00048)^(1/2)+0.06)))/x = 0

((x-8.33333333*(0.06-(0.06^2-0.00048)^(1/2)))*(x-8.33333333*((0.06^2-0.00048)^(1/2)+0.06)))/x = 0 // * x

(x-8.33333333*(0.06-(0.06^2-0.00048)^(1/2)))*(x-8.33333333*((0.06^2-0.00048)^(1/2)+0.06)) = 0

( x-8.33333333*((0.06^2-0.00048)^(1/2)+0.06) )

x-8.33333333*((0.06^2-0.00048)^(1/2)+0.06) = 0 // + -8.33333333*((0.06^2-0.00048)^(1/2)+0.06)

x = -(-8.33333333*((0.06^2-0.00048)^(1/2)+0.06))

x = 8.33333333*((0.06^2-0.00048)^(1/2)+0.06)

( x-8.33333333*(0.06-(0.06^2-0.00048)^(1/2)) )

x-8.33333333*(0.06-(0.06^2-0.00048)^(1/2)) = 0 // + -8.33333333*(0.06-(0.06^2-0.00048)^(1/2))

x = -(-8.33333333*(0.06-(0.06^2-0.00048)^(1/2)))

x = 8.33333333*(0.06-(0.06^2-0.00048)^(1/2))

x in { 8.33333333*((0.06^2-0.00048)^(1/2)+0.06), 8.33333333*(0.06-(0.06^2-0.00048)^(1/2)) }

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