16t^2-28t-8=0

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Solution for 16t^2-28t-8=0 equation:



16t^2-28t-8=0
a = 16; b = -28; c = -8;
Δ = b2-4ac
Δ = -282-4·16·(-8)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-36}{2*16}=\frac{-8}{32} =-1/4 $
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+36}{2*16}=\frac{64}{32} =2 $

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