4y-28/y-7

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Solution for 4y-28/y-7 equation: 


D( y )

y = 0

y = 0

y = 0

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

4*y-(28/y)-7 = 0

4*y-28*y^-1-7 = 0

4*y^1-28*y^-1-7*y^0 = 0

(4*y^2-7*y^1-28*y^0)/(y^1) = 0 // * y^2

y^1*(4*y^2-7*y^1-28*y^0) = 0

y^1

4*y^2-7*y-28 = 0

4*y^2-7*y-28 = 0

DELTA = (-7)^2-(-28*4*4)

DELTA = 497

DELTA > 0

y = (497^(1/2)+7)/(2*4) or y = (7-497^(1/2))/(2*4)

y = (497^(1/2)+7)/8 or y = (7-497^(1/2))/8

y in { (7-497^(1/2))/8, (497^(1/2)+7)/8} 

y in { (7-497^(1/2))/8, (497^(1/2)+7)/8 }

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