8t2+9t+2=0

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Solution for 8t2+9t+2=0 equation: 



8t^2+9t+2=0

a = 8; b = 9; c = +2;
Δ = b2-4ac
Δ = 92-4·8·2
Δ = 17
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-\sqrt{17}}{2*8}=\frac{-9-\sqrt{17}}{16}
$


$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{17}}{2*8}=\frac{-9+\sqrt{17}}{16}
$

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