7x+1=6/x

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Solution for 7x+1=6/x equation:


D( x )

x = 0

x = 0

x = 0

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

7*x+1 = 6/x // - 6/x

7*x-(6/x)+1 = 0

7*x-6*x^-1+1 = 0

7*x^1-6*x^-1+1*x^0 = 0

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

x^1*(7*x^2+1*x^1-6*x^0) = 0

x^1

7*x^2+x-6 = 0

7*x^2+x-6 = 0

DELTA = 1^2-(-6*4*7)

DELTA = 169

DELTA > 0

x = (169^(1/2)-1)/(2*7) or x = (-169^(1/2)-1)/(2*7)

x = 6/7 or x = -1

x in { -1, 6/7}

x in { -1, 6/7 }

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