(2y^2+5y-3)/(3y^2+8y-3)

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Solution for (2y^2+5y-3)/(3y^2+8y-3) equation:


D( y )

3*y^2+8*y-3 = 0

3*y^2+8*y-3 = 0

3*y^2+8*y-3 = 0

3*y^2+8*y-3 = 0

DELTA = 8^2-(-3*3*4)

DELTA = 100

DELTA > 0

y = (100^(1/2)-8)/(2*3) or y = (-100^(1/2)-8)/(2*3)

y = 1/3 or y = -3

y in (-oo:-3) U (-3:1/3) U (1/3:+oo)

(2*y^2+5*y-3)/(3*y^2+8*y-3) = 0

2*y^2+5*y-3 = 0

2*y^2+5*y-3 = 0

DELTA = 5^2-(-3*2*4)

DELTA = 49

DELTA > 0

y = (49^(1/2)-5)/(2*2) or y = (-49^(1/2)-5)/(2*2)

y = 1/2 or y = -3

(y+3)*(y-1/2) = 0

3*y^2+8*y-3 = 0

3*y^2+8*y-3 = 0

DELTA = 8^2-(-3*3*4)

DELTA = 100

DELTA > 0

y = (100^(1/2)-8)/(2*3) or y = (-100^(1/2)-8)/(2*3)

y = 1/3 or y = -3

(y+3)*(y-1/3) = 0

((y+3)*(y-1/2))/((y+3)*(y-1/3)) = 0

( y+3 )

y+3 = 0 // - 3

y = -3

( y-1/2 )

y-1/2 = 0 // + 1/2

y = 1/2

y in { -3}

y = 1/2

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