7y-9/y=7/10

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Solution for 7y-9/y=7/10 equation:


D( y )

y = 0

y = 0

y = 0

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

7*y-(9/y) = 7/10 // - 7/10

7*y-(9/y)-(7/10) = 0

7*y-9*y^-1-7/10 = 0

7*y^1-9*y^-1-7/10*y^0 = 0

(7*y^2-7/10*y^1-9*y^0)/(y^1) = 0 // * y^2

y^1*(7*y^2-7/10*y^1-9*y^0) = 0

y^1

7*y^2+(-7/10)*y-9 = 0

7*y^2+(-7/10)*y-9 = 0

DELTA = (-7/10)^2-(-9*4*7)

DELTA = 25249/100

DELTA > 0

y = ((25249/100)^(1/2)-(-7/10))/(2*7) or y = (-(-7/10)-(25249/100)^(1/2))/(2*7)

y = ((25249/100)^(1/2)+7/10)/14 or y = (7/10-(25249/100)^(1/2))/14

y in { (7/10-(25249/100)^(1/2))/14, ((25249/100)^(1/2)+7/10)/14}

y in { (7/10-(25249/100)^(1/2))/14, ((25249/100)^(1/2)+7/10)/14 }

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