1.4=x^2/(1-x)

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Solution for 1.4=x^2/(1-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)

1.4 = (x^2)/(1-x) // - (x^2)/(1-x)

1.4-((x^2)/(1-x)) = 0

(-1*x^2)/(1-x)+1.4 = 0

(-1*x^2)/(1-x)+(1.4*(1-x))/(1-x) = 0

1.4*(1-x)-1*x^2 = 0

1.4-x^2-1.4*x = 0

1.4-x^2-1.4*x = 0

1.4-x^2-1.4*x = 0

DELTA = (-1.4)^2-(-1*1.4*4)

DELTA = 1.4^2+5.6

DELTA = 7.56

DELTA > 0

x = ((1.4^2+5.6)^(1/2)+1.4)/(-1*2) or x = (1.4-(1.4^2+5.6)^(1/2))/(-1*2)

x = ((1.4^2+5.6)^(1/2)+1.4)/(-2) or x = (1.4-(1.4^2+5.6)^(1/2))/(-2)

(x-(((1.4^2+5.6)^(1/2)+1.4)/(-2)))*(x-((1.4-(1.4^2+5.6)^(1/2))/(-2))) = 0

((x-(((1.4^2+5.6)^(1/2)+1.4)/(-2)))*(x-((1.4-(1.4^2+5.6)^(1/2))/(-2))))/(1-x) = 0

((x-(((1.4^2+5.6)^(1/2)+1.4)/(-2)))*(x-((1.4-(1.4^2+5.6)^(1/2))/(-2))))/(1-x) = 0 // * 1-x

(x-(((1.4^2+5.6)^(1/2)+1.4)/(-2)))*(x-((1.4-(1.4^2+5.6)^(1/2))/(-2))) = 0

( x-(((1.4^2+5.6)^(1/2)+1.4)/(-2)) )

x-(((1.4^2+5.6)^(1/2)+1.4)/(-2)) = 0 // + ((1.4^2+5.6)^(1/2)+1.4)/(-2)

x = ((1.4^2+5.6)^(1/2)+1.4)/(-2)

( x-((1.4-(1.4^2+5.6)^(1/2))/(-2)) )

x-((1.4-(1.4^2+5.6)^(1/2))/(-2)) = 0 // + (1.4-(1.4^2+5.6)^(1/2))/(-2)

x = (1.4-(1.4^2+5.6)^(1/2))/(-2)

x in { ((1.4^2+5.6)^(1/2)+1.4)/(-2), (1.4-(1.4^2+5.6)^(1/2))/(-2) }

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