16t2-676=0

Solution for 16t2-676=0 equation:

16t^2-676=0

a = 16; b = 0; c = -676;
Δ = b2-4ac
Δ = 02-4·16·(-676)
Δ = 43264
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{43264}=208$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-208}{2*16}=\frac{-208}{32}
=-6+1/2
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+208}{2*16}=\frac{208}{32}
=6+1/2
$