49.7=2x/(1.00-x)(2.00-x)

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Solution for 49.7=2x/(1.00-x)(2.00-x) equation:


D( x )

1-x = 0

1-x = 0

1-x = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

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

49.7 = ((2*x)/(1-x))*(2-x) // - ((2*x)/(1-x))*(2-x)

49.7-(((2*x)/(1-x))*(2-x)) = 0

49.7-2*x*(1-x)^-1*(2-x) = 0

(-2*x*(2-x))/(1-x)+49.7 = 0

(-2*x*(2-x))/(1-x)+(49.7*(1-x))/(1-x) = 0

49.7*(1-x)-2*x*(2-x) = 0

2*x^2-53.7*x+49.7 = 0

2*x^2-53.7*x+49.7 = 0

2*x^2-53.7*x+49.7 = 0

DELTA = (-53.7)^2-(2*4*49.7)

DELTA = 53.7^2-397.6

DELTA = 2486.09

DELTA > 0

x = ((53.7^2-397.6)^(1/2)+53.7)/(2*2) or x = (53.7-(53.7^2-397.6)^(1/2))/(2*2)

x = ((53.7^2-397.6)^(1/2)+53.7)/4 or x = (53.7-(53.7^2-397.6)^(1/2))/4

(x-((53.7-(53.7^2-397.6)^(1/2))/4))*(x-(((53.7^2-397.6)^(1/2)+53.7)/4)) = 0

((x-((53.7-(53.7^2-397.6)^(1/2))/4))*(x-(((53.7^2-397.6)^(1/2)+53.7)/4)))/(1-x) = 0

((x-((53.7-(53.7^2-397.6)^(1/2))/4))*(x-(((53.7^2-397.6)^(1/2)+53.7)/4)))/(1-x) = 0 // * 1-x

(x-((53.7-(53.7^2-397.6)^(1/2))/4))*(x-(((53.7^2-397.6)^(1/2)+53.7)/4)) = 0

( x-(((53.7^2-397.6)^(1/2)+53.7)/4) )

x-(((53.7^2-397.6)^(1/2)+53.7)/4) = 0 // + ((53.7^2-397.6)^(1/2)+53.7)/4

x = ((53.7^2-397.6)^(1/2)+53.7)/4

( x-((53.7-(53.7^2-397.6)^(1/2))/4) )

x-((53.7-(53.7^2-397.6)^(1/2))/4) = 0 // + (53.7-(53.7^2-397.6)^(1/2))/4

x = (53.7-(53.7^2-397.6)^(1/2))/4

x in { ((53.7^2-397.6)^(1/2)+53.7)/4, (53.7-(53.7^2-397.6)^(1/2))/4 }

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