169=16t*16t

Solution for 169=16t*16t equation:

169=16t*16t

We move all terms to the left:

169-(16t*16t)=0

We add all the numbers together, and all the variables

-(+16t*16t)+169=0

We get rid of parentheses

-16t*16t+169=0

Wy multiply elements

-256t^2+169=0

a = -256; b = 0; c = +169;
Δ = b2-4ac
Δ = 02-4·(-256)·169
Δ = 173056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{173056}=416$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-416}{2*-256}=\frac{-416}{-512}
=13/16
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+416}{2*-256}=\frac{416}{-512}
=-13/16
$