7/y=y-8

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Solution for 7/y=y-8 equation: 


D( y )

y = 0

y = 0

y = 0

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

7/y = y-8 // - y-8

7/y-y+8 = 0

7*y^-1-1*y^1+8*y^0 = 0

(8*y^1-1*y^2+7*y^0)/(y^1) = 0 // * y^2

y^1*(8*y^1-1*y^2+7*y^0) = 0

y^1

8*y-y^2+7 = 0

8*y-y^2+7 = 0

DELTA = 8^2-(-1*4*7)

DELTA = 92

DELTA > 0

y = (92^(1/2)-8)/(-1*2) or y = (-92^(1/2)-8)/(-1*2)

y = (2*23^(1/2)-8)/(-2) or y = (-2*23^(1/2)-8)/(-2)

y in { (2*23^(1/2)-8)/(-2), (-2*23^(1/2)-8)/(-2)} 

y in { (2*23^(1/2)-8)/(-2), (-2*23^(1/2)-8)/(-2) }

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