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

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


D( t )

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

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

2*t^2-(8*t)-3 = 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 in (-oo:(8-2*22^(1/2))/4) U ((8-2*22^(1/2))/4:(2*22^(1/2)+8)/4) U ((2*22^(1/2)+8)/4:+oo)

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

(t-5)/(2*t^2-8*t-3) = 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-5)/((t-((8-2*22^(1/2))/4))*(t-((2*22^(1/2)+8)/4))) = 0

t-5 = 0 // + 5

t = 5

t = 5

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