1/x+2/11x=7

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Solution for 1/x+2/11x=7 equation:


D( x )

x = 0

x = 0

x = 0

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

(2/11)*x+1/x = 7 // - 7

(2/11)*x+1/x-7 = 0

2/11*x^1+1*x^-1-7*x^0 = 0

(2/11*x^2-7*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(2/11*x^2-7*x^1+1*x^0) = 0

x^1

(2/11)*x^2-7*x+1 = 0

(2/11)*x^2-7*x+1 = 0

DELTA = (-7)^2-(1*4*(2/11))

DELTA = 531/11

DELTA > 0

x = ((531/11)^(1/2)+7)/(2*(2/11)) or x = (7-(531/11)^(1/2))/(2*(2/11))

x = 11/4*((531/11)^(1/2)+7) or x = 11/4*(7-(531/11)^(1/2))

x in { 11/4*(7-(531/11)^(1/2)), 11/4*((531/11)^(1/2)+7)}

x in { 11/4*(7-(531/11)^(1/2)), 11/4*((531/11)^(1/2)+7) }

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