t^2-2t=7.44

Solution for t^2-2t=7.44 equation:

t^2-2t=7.44

We move all terms to the left:

t^2-2t-(7.44)=0

We add all the numbers together, and all the variables

t^2-2t-7.44=0

a = 1; b = -2; c = -7.44;
Δ = b2-4ac
Δ = -22-4·1·(-7.44)
Δ = 33.76
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{-(-2)-\sqrt{33.76}}{2*1}=\frac{2-\sqrt{33.76}}{2}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+\sqrt{33.76}}{2*1}=\frac{2+\sqrt{33.76}}{2}
$