(x^2)/((3.7-x)(2.2-x))-1.9

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Solution for (x^2)/((3.7-x)(2.2-x))-1.9 equation: 


D( x )

(3.7-x)*(2.2-x) = 0

(3.7-x)*(2.2-x) = 0

(3.7-x)*(2.2-x) = 0

( 2.2-x )

2.2-x = 0 // - 2.2

-x = -2.2 // * -1

x = 2.2

( 3.7-x )

3.7-x = 0 // - 3.7

-x = -3.7 // * -1

x = 3.7

x in (-oo:2.2) U (2.2:3.7) U (3.7:+oo)

(x^2)/((3.7-x)*(2.2-x))-1.9 = 0

(x^2)/((3.7-x)*(2.2-x))+(-1.9*(3.7-x)*(2.2-x))/((3.7-x)*(2.2-x)) = 0

x^2-1.9*(3.7-x)*(2.2-x) = 0

11.21*x-0.9*x^2-15.466 = 0

11.21*x-0.9*x^2-15.466 = 0

11.21*x-0.9*x^2-15.466 = 0

DELTA = 11.21^2-(-15.466*(-0.9)*4)

DELTA = 11.21^2-55.6776

DELTA = 69.9865

DELTA > 0

x = ((11.21^2-55.6776)^(1/2)-11.21)/(-0.9*2) or x = (-(11.21^2-55.6776)^(1/2)-11.21)/(-0.9*2)

x = -0.55555556*((11.21^2-55.6776)^(1/2)-11.21) or x = 0.55555556*((11.21^2-55.6776)^(1/2)+11.21)

(x+0.55555556*((11.21^2-55.6776)^(1/2)-11.21))*(x-0.55555556*((11.21^2-55.6776)^(1/2)+11.21)) = 0

((x+0.55555556*((11.21^2-55.6776)^(1/2)-11.21))*(x-0.55555556*((11.21^2-55.6776)^(1/2)+11.21)))/((3.7-x)*(2.2-x)) = 0

((x+0.55555556*((11.21^2-55.6776)^(1/2)-11.21))*(x-0.55555556*((11.21^2-55.6776)^(1/2)+11.21)))/((3.7-x)*(2.2-x)) = 0 // * (3.7-x)*(2.2-x)

(x+0.55555556*((11.21^2-55.6776)^(1/2)-11.21))*(x-0.55555556*((11.21^2-55.6776)^(1/2)+11.21)) = 0

( x+0.55555556*((11.21^2-55.6776)^(1/2)-11.21) )

x+0.55555556*((11.21^2-55.6776)^(1/2)-11.21) = 0 // - 0.55555556*((11.21^2-55.6776)^(1/2)-11.21)

x = -(0.55555556*((11.21^2-55.6776)^(1/2)-11.21))

x = -0.55555556*((11.21^2-55.6776)^(1/2)-11.21)

( x-0.55555556*((11.21^2-55.6776)^(1/2)+11.21) )

x-0.55555556*((11.21^2-55.6776)^(1/2)+11.21) = 0 // + -0.55555556*((11.21^2-55.6776)^(1/2)+11.21)

x = -(-0.55555556*((11.21^2-55.6776)^(1/2)+11.21))

x = 0.55555556*((11.21^2-55.6776)^(1/2)+11.21)

x in { -0.55555556*((11.21^2-55.6776)^(1/2)-11.21), 0.55555556*((11.21^2-55.6776)^(1/2)+11.21) }

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