x-7/x=-6

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Solution for x-7/x=-6 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(7/x) = -6 // + 6

x-(7/x)+6 = 0

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

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

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

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

x^1

x^2+6*x-7 = 0

x^2+6*x-7 = 0

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

DELTA = 64

DELTA > 0

x = (64^(1/2)-6)/(1*2) or x = (-64^(1/2)-6)/(1*2)

x = 1 or x = -7

x in { -7, 1} 

x in { -7, 1 }

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