2-y/y^2+5y-14

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Solution for 2-y/y^2+5y-14 equation:


D( y )

y^2 = 0

y^2 = 0

y^2 = 0

1*y^2 = 0 // : 1

y^2 = 0

y = 0

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

5*y-(y/(y^2))-14+2 = 0

5*y-y^-1-14+2 = 0

5*y^1-1*y^-1-12*y^0 = 0

(5*y^2-12*y^1-1*y^0)/(y^1) = 0 // * y^2

y^1*(5*y^2-12*y^1-1*y^0) = 0

y^1

5*y^2-12*y-1 = 0

5*y^2-12*y-1 = 0

DELTA = (-12)^2-(-1*4*5)

DELTA = 164

DELTA > 0

y = (164^(1/2)+12)/(2*5) or y = (12-164^(1/2))/(2*5)

y = (2*41^(1/2)+12)/10 or y = (12-2*41^(1/2))/10

y in { (12-2*41^(1/2))/10, (2*41^(1/2)+12)/10}

y in { (12-2*41^(1/2))/10, (2*41^(1/2)+12)/10 }

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