(21x-13)/(x^2-5x)=3

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Solution for (21x-13)/(x^2-5x)=3 equation:


D( x )

x^2-(5*x) = 0

x^2-(5*x) = 0

x^2-(5*x) = 0

x^2-5*x = 0

x^2-5*x = 0

DELTA = (-5)^2-(0*1*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)+5)/(1*2) or x = (5-25^(1/2))/(1*2)

x = 5 or x = 0

x in (-oo:0) U (0:5) U (5:+oo)

(21*x-13)/(x^2-(5*x)) = 3 // - 3

(21*x-13)/(x^2-(5*x))-3 = 0

(21*x-13)/(x^2-5*x)-3 = 0

x^2-5*x = 0

x^2-5*x = 0

x*(x-5) = 0

x-5 = 0 // + 5

x = 5

x*(x-5) = 0

(21*x-13)/(x*(x-5))-3 = 0

(21*x-13)/(x*(x-5))+(-3*x*(x-5))/(x*(x-5)) = 0

21*x-3*x*(x-5)-13 = 0

36*x-3*x^2-13 = 0

36*x-3*x^2-13 = 0

36*x-3*x^2-13 = 0

DELTA = 36^2-(-13*(-3)*4)

DELTA = 1140

DELTA > 0

x = (1140^(1/2)-36)/(-3*2) or x = (-1140^(1/2)-36)/(-3*2)

x = (2*285^(1/2)-36)/(-6) or x = (-2*285^(1/2)-36)/(-6)

(x-((2*285^(1/2)-36)/(-6)))*(x-((-2*285^(1/2)-36)/(-6))) = 0

((x-((2*285^(1/2)-36)/(-6)))*(x-((-2*285^(1/2)-36)/(-6))))/(x*(x-5)) = 0

((x-((2*285^(1/2)-36)/(-6)))*(x-((-2*285^(1/2)-36)/(-6))))/(x*(x-5)) = 0 // * x*(x-5)

(x-((2*285^(1/2)-36)/(-6)))*(x-((-2*285^(1/2)-36)/(-6))) = 0

( x-((-2*285^(1/2)-36)/(-6)) )

x-((-2*285^(1/2)-36)/(-6)) = 0 // + (-2*285^(1/2)-36)/(-6)

x = (-2*285^(1/2)-36)/(-6)

( x-((2*285^(1/2)-36)/(-6)) )

x-((2*285^(1/2)-36)/(-6)) = 0 // + (2*285^(1/2)-36)/(-6)

x = (2*285^(1/2)-36)/(-6)

x in { (-2*285^(1/2)-36)/(-6), (2*285^(1/2)-36)/(-6) }

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