(z-(5/7))/z=(1/7)z

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Solution for (z-(5/7))/z=(1/7)z equation:


D( z )

z = 0

z = 0

z = 0

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

(z-(5/7))/z = (1/7)*z // - (1/7)*z

(z-(5/7))/z-((1/7)*z) = 0

(z-5/7)/z+(-1/7)*z = 0

(z-5/7)/z-z/7 = 0

(7*(z-5/7))/(7*z)+(-z*z)/(7*z) = 0

7*(z-5/7)-z*z = 0

7*z-z^2-5 = 0

7*z-z^2-5 = 0

7*z-z^2-5 = 0

DELTA = 7^2-(-5*(-1)*4)

DELTA = 29

DELTA > 0

z = (29^(1/2)-7)/(-1*2) or z = (-29^(1/2)-7)/(-1*2)

z = (29^(1/2)-7)/(-2) or z = (29^(1/2)+7)/2

(z-((29^(1/2)-7)/(-2)))*(z-((29^(1/2)+7)/2)) = 0

((z-((29^(1/2)-7)/(-2)))*(z-((29^(1/2)+7)/2)))/(7*z) = 0

((z-((29^(1/2)-7)/(-2)))*(z-((29^(1/2)+7)/2)))/(7*z) = 0 // * 7*z

(z-((29^(1/2)-7)/(-2)))*(z-((29^(1/2)+7)/2)) = 0

( z-((29^(1/2)+7)/2) )

z-((29^(1/2)+7)/2) = 0 // + (29^(1/2)+7)/2

z = (29^(1/2)+7)/2

( z-((29^(1/2)-7)/(-2)) )

z-((29^(1/2)-7)/(-2)) = 0 // + (29^(1/2)-7)/(-2)

z = (29^(1/2)-7)/(-2)

z in { (29^(1/2)+7)/2, (29^(1/2)-7)/(-2) }

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