(-5y+6y^2-2)/(1+2y)

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Solution for (-5y+6y^2-2)/(1+2y) equation:


D( y )

2*y+1 = 0

2*y+1 = 0

2*y+1 = 0

2*y+1 = 0 // - 1

2*y = -1 // : 2

y = -1/2

y in (-oo:-1/2) U (-1/2:+oo)

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

6*y^2-5*y-2 = 0

6*y^2-5*y-2 = 0

DELTA = (-5)^2-(-2*4*6)

DELTA = 73

DELTA > 0

y = (73^(1/2)+5)/(2*6) or y = (5-73^(1/2))/(2*6)

y = (73^(1/2)+5)/12 or y = (5-73^(1/2))/12

(y-((5-73^(1/2))/12))*(y-((73^(1/2)+5)/12)) = 0

((y-((5-73^(1/2))/12))*(y-((73^(1/2)+5)/12)))/(2*y+1) = 0

( y-((5-73^(1/2))/12) )

y-((5-73^(1/2))/12) = 0 // + (5-73^(1/2))/12

y = (5-73^(1/2))/12

( y-((73^(1/2)+5)/12) )

y-((73^(1/2)+5)/12) = 0 // + (73^(1/2)+5)/12

y = (73^(1/2)+5)/12

y in { (5-73^(1/2))/12, (73^(1/2)+5)/12 }

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