8x-55=7/x

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Solution for 8x-55=7/x equation: 


D( x )

x = 0

x = 0

x = 0

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

8*x-55 = 7/x // - 7/x

8*x-(7/x)-55 = 0

8*x-7*x^-1-55 = 0

8*x^1-7*x^-1-55*x^0 = 0

(8*x^2-55*x^1-7*x^0)/(x^1) = 0 // * x^2

x^1*(8*x^2-55*x^1-7*x^0) = 0

x^1

8*x^2-55*x-7 = 0

8*x^2-55*x-7 = 0

DELTA = (-55)^2-(-7*4*8)

DELTA = 3249

DELTA > 0

x = (3249^(1/2)+55)/(2*8) or x = (55-3249^(1/2))/(2*8)

x = 7 or x = -1/8

x in { -1/8, 7} 

x in { -1/8, 7 }

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