(1.5/x^2)=(2.5/(1.8-x)^2)

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Solution for (1.5/x^2)=(2.5/(1.8-x)^2) equation: 


D( x )

x^2 = 0

(1.8-x)^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

(1.8-x)^2 = 0

(1.8-x)^2 = 0

1.8-x = 0 // - 1.8

-x = -1.8 // * -1

x = 1.8

x in (-oo:0) U (0:1.8) U (1.8:+oo)

1.5/(x^2) = 2.5/((1.8-x)^2) // - 2.5/((1.8-x)^2)

1.5/(x^2)-(2.5/((1.8-x)^2)) = 0

1.5/(x^2)-2.5*(1.8-x)^-2 = 0

1.5/(x^2)-2.5/((1.8-x)^2) = 0

(-2.5*x^2)/(x^2*(1.8-x)^2)+(1.5*(1.8-x)^2)/(x^2*(1.8-x)^2) = 0

1.5*(1.8-x)^2-2.5*x^2 = 0

4.86-x^2-5.4*x = 0

4.86-x^2-5.4*x = 0

4.86-x^2-5.4*x = 0

DELTA = (-5.4)^2-(-1*4*4.86)

DELTA = 5.4^2+19.44

DELTA = 48.6

DELTA > 0

x = ((5.4^2+19.44)^(1/2)+5.4)/(-1*2) or x = (5.4-(5.4^2+19.44)^(1/2))/(-1*2)

x = ((5.4^2+19.44)^(1/2)+5.4)/(-2) or x = (5.4-(5.4^2+19.44)^(1/2))/(-2)

(x-(((5.4^2+19.44)^(1/2)+5.4)/(-2)))*(x-((5.4-(5.4^2+19.44)^(1/2))/(-2))) = 0

((x-(((5.4^2+19.44)^(1/2)+5.4)/(-2)))*(x-((5.4-(5.4^2+19.44)^(1/2))/(-2))))/(x^2*(1.8-x)^2) = 0

((x-(((5.4^2+19.44)^(1/2)+5.4)/(-2)))*(x-((5.4-(5.4^2+19.44)^(1/2))/(-2))))/(x^2*(1.8-x)^2) = 0 // * x^2*(1.8-x)^2

(x-(((5.4^2+19.44)^(1/2)+5.4)/(-2)))*(x-((5.4-(5.4^2+19.44)^(1/2))/(-2))) = 0

( x-(((5.4^2+19.44)^(1/2)+5.4)/(-2)) )

x-(((5.4^2+19.44)^(1/2)+5.4)/(-2)) = 0 // + ((5.4^2+19.44)^(1/2)+5.4)/(-2)

x = ((5.4^2+19.44)^(1/2)+5.4)/(-2)

( x-((5.4-(5.4^2+19.44)^(1/2))/(-2)) )

x-((5.4-(5.4^2+19.44)^(1/2))/(-2)) = 0 // + (5.4-(5.4^2+19.44)^(1/2))/(-2)

x = (5.4-(5.4^2+19.44)^(1/2))/(-2)

x in { ((5.4^2+19.44)^(1/2)+5.4)/(-2), (5.4-(5.4^2+19.44)^(1/2))/(-2) }

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