-8t^2+5t+15=0

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Solution for -8t^2+5t+15=0 equation: 



-8t^2+5t+15=0

a = -8; b = 5; c = +15;
Δ = b2-4ac
Δ = 52-4·(-8)·15
Δ = 505
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{-(5)-\sqrt{505}}{2*-8}=\frac{-5-\sqrt{505}}{-16}
$


$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{505}}{2*-8}=\frac{-5+\sqrt{505}}{-16}
$

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