21x-7/x=46

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Solution for 21x-7/x=46 equation: 


D( x )

x = 0

x = 0

x = 0

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

21*x-(7/x) = 46 // - 46

21*x-(7/x)-46 = 0

21*x-7*x^-1-46 = 0

21*x^1-7*x^-1-46*x^0 = 0

(21*x^2-46*x^1-7*x^0)/(x^1) = 0 // * x^2

x^1*(21*x^2-46*x^1-7*x^0) = 0

x^1

21*x^2-46*x-7 = 0

21*x^2-46*x-7 = 0

DELTA = (-46)^2-(-7*4*21)

DELTA = 2704

DELTA > 0

x = (2704^(1/2)+46)/(2*21) or x = (46-2704^(1/2))/(2*21)

x = 7/3 or x = -1/7

x in { -1/7, 7/3} 

x in { -1/7, 7/3 }

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