(4t^2/5)=(7t/5)+(9/10)

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Solution for (4t^2/5)=(7t/5)+(9/10) equation: 


t in (-oo:+oo)

(4*t^2)/5 = (7*t)/5+9/10 // - (7*t)/5+9/10

(4*t^2)/5-((7*t)/5)-(9/10) = 0

(4*t^2)/5+(-7/5)*t-9/10 = 0

4/5*t^2-7/5*t-9/10 = 0

DELTA = (-7/5)^2-(-9/10*4/5*4)

DELTA = 121/25

DELTA > 0

t = ((121/25)^(1/2)+7/5)/(4/5*2) or t = (7/5-(121/25)^(1/2))/(4/5*2)

t = 9/4 or t = -1/2

t in { -1/2, 9/4 }

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