16.1t^2=34.641t

Solution for 16.1t^2=34.641t equation:

16.1t^2=34.641t

We move all terms to the left:

16.1t^2-(34.641t)=0

We add all the numbers together, and all the variables

16.1t^2-(+34.641t)=0

We get rid of parentheses

16.1t^2-34.641t=0

a = 16.1; b = -34.641; c = 0;
Δ = b2-4ac
Δ = -34.6412-4·16.1·0
Δ = 1199.998881
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{-(-34.641)-\sqrt{1199.998881}}{2*16.1}=\frac{34.641-\sqrt{1199.998881}}{32.2}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34.641)+\sqrt{1199.998881}}{2*16.1}=\frac{34.641+\sqrt{1199.998881}}{32.2}
$