X+1=42/X

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Solution for X+1=42/X equation: 


D( X )

X = 0

X = 0

X = 0

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

X+1 = 42/X // - 42/X

X-(42/X)+1 = 0

X-42*X^-1+1 = 0

1*X^1-42*X^-1+1*X^0 = 0

(1*X^2+1*X^1-42*X^0)/(X^1) = 0 // * X^2

X^1*(1*X^2+1*X^1-42*X^0) = 0

X^1

X^2+X-42 = 0

X^2+X-42 = 0

DELTA = 1^2-(-42*1*4)

DELTA = 169

DELTA > 0

X = (169^(1/2)-1)/(1*2) or X = (-169^(1/2)-1)/(1*2)

X = 6 or X = -7

X in { -7, 6} 

X in { -7, 6 }

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