16t^2+3t-14=0

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Solution for 16t^2+3t-14=0 equation:



16t^2+3t-14=0
a = 16; b = 3; c = -14;
Δ = b2-4ac
Δ = 32-4·16·(-14)
Δ = 905
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{-(3)-\sqrt{905}}{2*16}=\frac{-3-\sqrt{905}}{32} $
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{905}}{2*16}=\frac{-3+\sqrt{905}}{32} $

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