(6-8x^2)/(x^2-7x)+5/3

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Solution for (6-8x^2)/(x^2-7x)+5/3 equation: 


D( x )

x^2-(7*x) = 0

x^2-(7*x) = 0

x^2-(7*x) = 0

x^2-7*x = 0

x^2-7*x = 0

DELTA = (-7)^2-(0*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+7)/(1*2) or x = (7-49^(1/2))/(1*2)

x = 7 or x = 0

x in (-oo:0) U (0:7) U (7:+oo)

(6-(8*x^2))/(x^2-(7*x))+5/3 = 0

(6-8*x^2)/(x^2-7*x)+5/3 = 0

x^2-7*x = 0

x^2-7*x = 0

x*(x-7) = 0

x-7 = 0 // + 7

x = 7

x*(x-7) = 0

(6-8*x^2)/(x*(x-7))+5/3 = 0

(3*(6-8*x^2))/(3*x*(x-7))+(5*x*(x-7))/(3*x*(x-7)) = 0

3*(6-8*x^2)+5*x*(x-7) = 0

18-19*x^2-35*x = 0

18-19*x^2-35*x = 0

18-19*x^2-35*x = 0

DELTA = (-35)^2-(-19*4*18)

DELTA = 2593

DELTA > 0

x = (2593^(1/2)+35)/(-19*2) or x = (35-2593^(1/2))/(-19*2)

x = (2593^(1/2)+35)/(-38) or x = (35-2593^(1/2))/(-38)

(x-((2593^(1/2)+35)/(-38)))*(x-((35-2593^(1/2))/(-38))) = 0

((x-((2593^(1/2)+35)/(-38)))*(x-((35-2593^(1/2))/(-38))))/(3*x*(x-7)) = 0

((x-((2593^(1/2)+35)/(-38)))*(x-((35-2593^(1/2))/(-38))))/(3*x*(x-7)) = 0 // * 3*x*(x-7)

(x-((2593^(1/2)+35)/(-38)))*(x-((35-2593^(1/2))/(-38))) = 0

( x-((2593^(1/2)+35)/(-38)) )

x-((2593^(1/2)+35)/(-38)) = 0 // + (2593^(1/2)+35)/(-38)

x = (2593^(1/2)+35)/(-38)

( x-((35-2593^(1/2))/(-38)) )

x-((35-2593^(1/2))/(-38)) = 0 // + (35-2593^(1/2))/(-38)

x = (35-2593^(1/2))/(-38)

x in { (2593^(1/2)+35)/(-38), (35-2593^(1/2))/(-38) }

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