1/y=2/9y-7

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Solution for 1/y=2/9y-7 equation:


D( y )

y = 0

y = 0

y = 0

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

1/y = (2/9)*y-7 // - (2/9)*y-7

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

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

1*y^-1-2/9*y^1+7*y^0 = 0

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

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

y^1

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

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

DELTA = 7^2-(1*4*(-2/9))

DELTA = 449/9

DELTA > 0

y = ((449/9)^(1/2)-7)/(2*(-2/9)) or y = (-(449/9)^(1/2)-7)/(2*(-2/9))

y = -9/4*((449/9)^(1/2)-7) or y = 9/4*((449/9)^(1/2)+7)

y in { -9/4*((449/9)^(1/2)-7), 9/4*((449/9)^(1/2)+7)}

y in { -9/4*((449/9)^(1/2)-7), 9/4*((449/9)^(1/2)+7) }

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