25-19x^2/(9x-15)

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Solution for 25-19x^2/(9x-15) equation:


D( x )

9*x-15 = 0

9*x-15 = 0

9*x-15 = 0

9*x-15 = 0 // + 15

9*x = 15 // : 9

x = 15/9

x = 5/3

x in (-oo:5/3) U (5/3:+oo)

25-((19*x^2)/(9*x-15)) = 0

25-19*x^2*(9*x-15)^-1 = 0

(-19*x^2)/(9*x-15)+25 = 0

(-19*x^2)/(9*x-15)+(25*(9*x-15))/(9*x-15) = 0

25*(9*x-15)-19*x^2 = 0

225*x-19*x^2-375 = 0

225*x-19*x^2-375 = 0

225*x-19*x^2-375 = 0

DELTA = 225^2-(-375*(-19)*4)

DELTA = 22125

DELTA > 0

x = (22125^(1/2)-225)/(-19*2) or x = (-22125^(1/2)-225)/(-19*2)

x = (5*885^(1/2)-225)/(-38) or x = (-5*885^(1/2)-225)/(-38)

(x-((5*885^(1/2)-225)/(-38)))*(x-((-5*885^(1/2)-225)/(-38))) = 0

((x-((5*885^(1/2)-225)/(-38)))*(x-((-5*885^(1/2)-225)/(-38))))/(9*x-15) = 0

((x-((5*885^(1/2)-225)/(-38)))*(x-((-5*885^(1/2)-225)/(-38))))/(9*x-15) = 0 // * 9*x-15

(x-((5*885^(1/2)-225)/(-38)))*(x-((-5*885^(1/2)-225)/(-38))) = 0

( x-((-5*885^(1/2)-225)/(-38)) )

x-((-5*885^(1/2)-225)/(-38)) = 0 // + (-5*885^(1/2)-225)/(-38)

x = (-5*885^(1/2)-225)/(-38)

( x-((5*885^(1/2)-225)/(-38)) )

x-((5*885^(1/2)-225)/(-38)) = 0 // + (5*885^(1/2)-225)/(-38)

x = (5*885^(1/2)-225)/(-38)

x in { (-5*885^(1/2)-225)/(-38), (5*885^(1/2)-225)/(-38) }

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