(2t^2-8t-3)/(t-5)

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


D( t )

t-5 = 0

t-5 = 0

t-5 = 0

t-5 = 0 // + 5

t = 5

t in (-oo:5) U (5:+oo)

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

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

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

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

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

DELTA = 88

DELTA > 0

t = (88^(1/2)+8)/(2*2) or t = (8-88^(1/2))/(2*2)

t = (2*22^(1/2)+8)/4 or t = (8-2*22^(1/2))/4

(t-((8-2*22^(1/2))/4))*(t-((2*22^(1/2)+8)/4)) = 0

((t-((8-2*22^(1/2))/4))*(t-((2*22^(1/2)+8)/4)))/(t-5) = 0

( t-((2*22^(1/2)+8)/4) )

t-((2*22^(1/2)+8)/4) = 0 // + (2*22^(1/2)+8)/4

t = (2*22^(1/2)+8)/4

( t-((8-2*22^(1/2))/4) )

t-((8-2*22^(1/2))/4) = 0 // + (8-2*22^(1/2))/4

t = (8-2*22^(1/2))/4

t in { (2*22^(1/2)+8)/4, (8-2*22^(1/2))/4 }

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