(7/y-1)(1/y)=(9/8)

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Solution for (7/y-1)(1/y)=(9/8) equation:


D( y )

y = 0

y = 0

y = 0

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

(1/y)*(7/y-1) = 9/8 // - 9/8

(1/y)*(7/y-1)-(9/8) = 0

(1/y)*(7/y-1)-9/8 = 0

y^-1*(7*y^-1-1)-9/8 = 0

(8*y^-1*(7*y^-1-1))/8-9/8 = 0

8*y^-1*(7*y^-1-1)-9 = 0

56*y^-2-8*y^-1-9 = 0

56*y^-2-8*y^-1-9 = 0

56*y^-2-8*y^-1-9*y^0 = 0

(56*y^0-9*y^2-8*y^1)/(y^2) = 0 // * y^4

y^2*(56*y^0-9*y^2-8*y^1) = 0

y^2

56-9*y^2-8*y = 0

56-9*y^2-8*y = 0

DELTA = (-8)^2-(-9*4*56)

DELTA = 2080

DELTA > 0

y = (2080^(1/2)+8)/(-9*2) or y = (8-2080^(1/2))/(-9*2)

y = (4*130^(1/2)+8)/(-18) or y = (8-4*130^(1/2))/(-18)

y in { (4*130^(1/2)+8)/(-18), (8-4*130^(1/2))/(-18)}

(y-((4*130^(1/2)+8)/(-18)))*(y-((8-4*130^(1/2))/(-18))) = 0

((y-((4*130^(1/2)+8)/(-18)))*(y-((8-4*130^(1/2))/(-18))))/8 = 0

((y-((4*130^(1/2)+8)/(-18)))*(y-((8-4*130^(1/2))/(-18))))/8 = 0 // * 8

(y-((4*130^(1/2)+8)/(-18)))*(y-((8-4*130^(1/2))/(-18))) = 0

( y-((4*130^(1/2)+8)/(-18)) )

y-((4*130^(1/2)+8)/(-18)) = 0 // + (4*130^(1/2)+8)/(-18)

y = (4*130^(1/2)+8)/(-18)

( y-((8-4*130^(1/2))/(-18)) )

y-((8-4*130^(1/2))/(-18)) = 0 // + (8-4*130^(1/2))/(-18)

y = (8-4*130^(1/2))/(-18)

y in { (4*130^(1/2)+8)/(-18), (8-4*130^(1/2))/(-18) }

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