5t^2-70.71t=0

Solution for 5t^2-70.71t=0 equation:

5t^2-70.71t=0

a = 5; b = -70.71; c = 0;
Δ = b2-4ac
Δ = -70.712-4·5·0
Δ = 4999.9041
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{-(-70.71)-\sqrt{4999.9041}}{2*5}=\frac{70.71-\sqrt{4999.9041}}{10}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70.71)+\sqrt{4999.9041}}{2*5}=\frac{70.71+\sqrt{4999.9041}}{10}
$