x/7+x-7+13x/x^2-49

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Solution for x/7+x-7+13x/x^2-49 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

x/7+x+(13*x)/(x^2)-49-7 = 0

8/7*x^1+13*x^-1-56*x^0 = 0

(8/7*x^2-56*x^1+13*x^0)/(x^1) = 0 // * x^2

x^1*(8/7*x^2-56*x^1+13*x^0) = 0

x^1

(8/7)*x^2-56*x+13 = 0

(8/7)*x^2-56*x+13 = 0

DELTA = (-56)^2-(4*13*(8/7))

DELTA = 21536/7

DELTA > 0

x = ((21536/7)^(1/2)+56)/(2*(8/7)) or x = (56-(21536/7)^(1/2))/(2*(8/7))

x = 7/16*((21536/7)^(1/2)+56) or x = 7/16*(56-(21536/7)^(1/2))

x in { 7/16*(56-(21536/7)^(1/2)), 7/16*((21536/7)^(1/2)+56)} 

x in { 7/16*(56-(21536/7)^(1/2)), 7/16*((21536/7)^(1/2)+56) }

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