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 = (-81^(1/2)-7)/(1*2)

x = 1 or x = -8

x in { -8, 1} 

x in { -8, 1 }

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