43.75=t^2

Solution for 43.75=t^2 equation:

43.75=t^2

We move all terms to the left:

43.75-(t^2)=0

We add all the numbers together, and all the variables

-1t^2+43.75=0

a = -1; b = 0; c = +43.75;
Δ = b2-4ac
Δ = 02-4·(-1)·43.75
Δ = 175
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{175}=\sqrt{25*7}=\sqrt{25}*\sqrt{7}=5\sqrt{7}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-5\sqrt{7}}{2*-1}=\frac{0-5\sqrt{7}}{-2}
=-\frac{5\sqrt{7}}{-2}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+5\sqrt{7}}{2*-1}=\frac{0+5\sqrt{7}}{-2}
=\frac{5\sqrt{7}}{-2}
$