(2t^2-t-15/2t+5)/9-t^2

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Solution for (2t^2-t-15/2t+5)/9-t^2 equation: 


t in (-oo:+oo)

(2*t^2-t-((15/2)*t)+5)/9-t^2 = 0

(2*t^2-t+(-15/2)*t+5)/9-t^2 = 0

(2*t^2-17/2*t+5)/9-t^2 = 0

(2*t^2-17/2*t+5)/9+(9*(-t^2))/9 = 0

2*t^2+9*(-t^2)-17/2*t+5 = 0

5-7*t^2-17/2*t = 0

5-7*t^2-17/2*t = 0

5-7*t^2-17/2*t = 0

DELTA = (-17/2)^2-(-7*4*5)

DELTA = 849/4

DELTA > 0

t = ((849/4)^(1/2)+17/2)/(-7*2) or t = (17/2-(849/4)^(1/2))/(-7*2)

t = ((849/4)^(1/2)+17/2)/(-14) or t = (17/2-(849/4)^(1/2))/(-14)

(t-(((849/4)^(1/2)+17/2)/(-14)))*(t-((17/2-(849/4)^(1/2))/(-14))) = 0

((t-(((849/4)^(1/2)+17/2)/(-14)))*(t-((17/2-(849/4)^(1/2))/(-14))))/9 = 0

((t-(((849/4)^(1/2)+17/2)/(-14)))*(t-((17/2-(849/4)^(1/2))/(-14))))/9 = 0 // * 9

(t-(((849/4)^(1/2)+17/2)/(-14)))*(t-((17/2-(849/4)^(1/2))/(-14))) = 0

( t-(((849/4)^(1/2)+17/2)/(-14)) )

t-(((849/4)^(1/2)+17/2)/(-14)) = 0 // + ((849/4)^(1/2)+17/2)/(-14)

t = ((849/4)^(1/2)+17/2)/(-14)

( t-((17/2-(849/4)^(1/2))/(-14)) )

t-((17/2-(849/4)^(1/2))/(-14)) = 0 // + (17/2-(849/4)^(1/2))/(-14)

t = (17/2-(849/4)^(1/2))/(-14)

t in { ((849/4)^(1/2)+17/2)/(-14), (17/2-(849/4)^(1/2))/(-14) }

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