1.07=(x^2)/(1.47-x)

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Solution for 1.07=(x^2)/(1.47-x) equation: 


D( x )

1.47-x = 0

1.47-x = 0

1.47-x = 0

1.47-x = 0 // - 1.47

-x = -1.47 // * -1

x = 1.47

x in (-oo:1.47) U (1.47:+oo)

1.07 = (x^2)/(1.47-x) // - (x^2)/(1.47-x)

1.07-((x^2)/(1.47-x)) = 0

(-1*x^2)/(1.47-x)+1.07 = 0

(-1*x^2)/(1.47-x)+(1.07*(1.47-x))/(1.47-x) = 0

1.07*(1.47-x)-1*x^2 = 0

1.5729-x^2-1.07*x = 0

1.5729-x^2-1.07*x = 0

1.5729-x^2-1.07*x = 0

DELTA = (-1.07)^2-(-1*1.5729*4)

DELTA = 1.07^2+6.2916

DELTA = 7.4365

DELTA > 0

x = ((1.07^2+6.2916)^(1/2)+1.07)/(-1*2) or x = (1.07-(1.07^2+6.2916)^(1/2))/(-1*2)

x = ((1.07^2+6.2916)^(1/2)+1.07)/(-2) or x = (1.07-(1.07^2+6.2916)^(1/2))/(-2)

(x-(((1.07^2+6.2916)^(1/2)+1.07)/(-2)))*(x-((1.07-(1.07^2+6.2916)^(1/2))/(-2))) = 0

((x-(((1.07^2+6.2916)^(1/2)+1.07)/(-2)))*(x-((1.07-(1.07^2+6.2916)^(1/2))/(-2))))/(1.47-x) = 0

((x-(((1.07^2+6.2916)^(1/2)+1.07)/(-2)))*(x-((1.07-(1.07^2+6.2916)^(1/2))/(-2))))/(1.47-x) = 0 // * 1.47-x

(x-(((1.07^2+6.2916)^(1/2)+1.07)/(-2)))*(x-((1.07-(1.07^2+6.2916)^(1/2))/(-2))) = 0

( x-(((1.07^2+6.2916)^(1/2)+1.07)/(-2)) )

x-(((1.07^2+6.2916)^(1/2)+1.07)/(-2)) = 0 // + ((1.07^2+6.2916)^(1/2)+1.07)/(-2)

x = ((1.07^2+6.2916)^(1/2)+1.07)/(-2)

( x-((1.07-(1.07^2+6.2916)^(1/2))/(-2)) )

x-((1.07-(1.07^2+6.2916)^(1/2))/(-2)) = 0 // + (1.07-(1.07^2+6.2916)^(1/2))/(-2)

x = (1.07-(1.07^2+6.2916)^(1/2))/(-2)

x in { ((1.07^2+6.2916)^(1/2)+1.07)/(-2), (1.07-(1.07^2+6.2916)^(1/2))/(-2) }

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