t^2=74.07

Solution for t^2=74.07 equation:

t^2=74.07

We move all terms to the left:

t^2-(74.07)=0

We add all the numbers together, and all the variables

t^2-74.07=0

a = 1; b = 0; c = -74.07;
Δ = b2-4ac
Δ = 02-4·1·(-74.07)
Δ = 296.28
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{-(0)-\sqrt{296.28}}{2*1}=\frac{0-\sqrt{296.28}}{2}
=-\frac{\sqrt{}}{2}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{296.28}}{2*1}=\frac{0+\sqrt{296.28}}{2}
=\frac{\sqrt{}}{2}
$