(2t^2-t-15)/(3t^2-8t-3)

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Solution for (2t^2-t-15)/(3t^2-8t-3) equation:


D( t )

3*t^2-(8*t)-3 = 0

3*t^2-(8*t)-3 = 0

3*t^2-(8*t)-3 = 0

3*t^2-8*t-3 = 0

3*t^2-8*t-3 = 0

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

DELTA = 100

DELTA > 0

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

t = 3 or t = -1/3

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

(2*t^2-t-15)/(3*t^2-(8*t)-3) = 0

(2*t^2-t-15)/(3*t^2-8*t-3) = 0

2*t^2-t-15 = 0

2*t^2-t-15 = 0

DELTA = (-1)^2-(-15*2*4)

DELTA = 121

DELTA > 0

t = (121^(1/2)+1)/(2*2) or t = (1-121^(1/2))/(2*2)

t = 3 or t = -5/2

(t+5/2)*(t-3) = 0

3*t^2-8*t-3 = 0

3*t^2-8*t-3 = 0

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

DELTA = 100

DELTA > 0

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

t = 3 or t = -1/3

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

((t+5/2)*(t-3))/((t+1/3)*(t-3)) = 0

( t+5/2 )

t+5/2 = 0 // - 5/2

t = -5/2

( t-3 )

t-3 = 0 // + 3

t = 3

t in { 3}

t = -5/2

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