(-33)/(2x-17)=x

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Solution for (-33)/(2x-17)=x equation:


D( x )

2*x-17 = 0

2*x-17 = 0

2*x-17 = 0

2*x-17 = 0 // + 17

2*x = 17 // : 2

x = 17/2

x in (-oo:17/2) U (17/2:+oo)

-33/(2*x-17) = x // - x

-33/(2*x-17)-x = 0

(-x*(2*x-17))/(2*x-17)-33/(2*x-17) = 0

-x*(2*x-17)-33 = 0

17*x-2*x^2-33 = 0

17*x-2*x^2-33 = 0

17*x-2*x^2-33 = 0

DELTA = 17^2-(-33*(-2)*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)-17)/(-2*2) or x = (-25^(1/2)-17)/(-2*2)

x = 3 or x = 11/2

(x-3)*(x-11/2) = 0

((x-3)*(x-11/2))/(2*x-17) = 0

((x-3)*(x-11/2))/(2*x-17) = 0 // * 2*x-17

(x-3)*(x-11/2) = 0

( x-11/2 )

x-11/2 = 0 // + 11/2

x = 11/2

( x-3 )

x-3 = 0 // + 3

x = 3

x in { 11/2, 3 }

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