x-8/x=7

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Solution for x-8/x=7 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(8/x) = 7 // - 7

x-(8/x)-7 = 0

x-8*x^-1-7 = 0

1*x^1-8*x^-1-7*x^0 = 0

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

x^1*(1*x^2-7*x^1-8*x^0) = 0

x^1

x^2-7*x-8 = 0

x^2-7*x-8 = 0

DELTA = (-7)^2-(-8*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+7)/(1*2) or x = (7-81^(1/2))/(1*2)

x = 8 or x = -1

x in { -1, 8} 

x in { -1, 8 }

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