(0.2-x)^2/(0.3-x)=0.15

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Solution for (0.2-x)^2/(0.3-x)=0.15 equation: 


D( x )

0.3-x = 0

0.3-x = 0

0.3-x = 0

0.3-x = 0 // - 0.3

-x = -0.3 // * -1

x = 0.3

x in (-oo:0.3) U (0.3:+oo)

((0.2-x)^2)/(0.3-x) = 0.15 // - 0.15

((0.2-x)^2)/(0.3-x)-0.15 = 0

((0.2-x)^2)/(0.3-x)+(-0.15*(0.3-x))/(0.3-x) = 0

(0.2-x)^2-0.15*(0.3-x) = 0

x^2-0.25*x+0.2^2-0.045 = 0

x^2-0.25*x+0.2^2-0.045 = 0

x^2-0.25*x+0.2^2-0.045 = 0

DELTA = (-0.25)^2-(1*4*(0.2^2-0.045))

DELTA = 0.25^2-4*(0.2^2-0.045)

DELTA = 0.0825

DELTA > 0

x = ((0.25^2-4*(0.2^2-0.045))^(1/2)+0.25)/(1*2) or x = (0.25-(0.25^2-4*(0.2^2-0.045))^(1/2))/(1*2)

x = ((0.25^2-4*(0.2^2-0.045))^(1/2)+0.25)/2 or x = (0.25-(0.25^2-4*(0.2^2-0.045))^(1/2))/2

(x-((0.25-(0.25^2-4*(0.2^2-0.045))^(1/2))/2))*(x-(((0.25^2-4*(0.2^2-0.045))^(1/2)+0.25)/2)) = 0

((x-((0.25-(0.25^2-4*(0.2^2-0.045))^(1/2))/2))*(x-(((0.25^2-4*(0.2^2-0.045))^(1/2)+0.25)/2)))/(0.3-x) = 0

((x-((0.25-(0.25^2-4*(0.2^2-0.045))^(1/2))/2))*(x-(((0.25^2-4*(0.2^2-0.045))^(1/2)+0.25)/2)))/(0.3-x) = 0 // * 0.3-x

(x-((0.25-(0.25^2-4*(0.2^2-0.045))^(1/2))/2))*(x-(((0.25^2-4*(0.2^2-0.045))^(1/2)+0.25)/2)) = 0

( x-(((0.25^2-4*(0.2^2-0.045))^(1/2)+0.25)/2) )

x-(((0.25^2-4*(0.2^2-0.045))^(1/2)+0.25)/2) = 0 // + ((0.25^2-4*(0.2^2-0.045))^(1/2)+0.25)/2

x = ((0.25^2-4*(0.2^2-0.045))^(1/2)+0.25)/2

( x-((0.25-(0.25^2-4*(0.2^2-0.045))^(1/2))/2) )

x-((0.25-(0.25^2-4*(0.2^2-0.045))^(1/2))/2) = 0 // + (0.25-(0.25^2-4*(0.2^2-0.045))^(1/2))/2

x = (0.25-(0.25^2-4*(0.2^2-0.045))^(1/2))/2

x in { ((0.25^2-4*(0.2^2-0.045))^(1/2)+0.25)/2, (0.25-(0.25^2-4*(0.2^2-0.045))^(1/2))/2 }

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