85.375=t^2

Solution for 85.375=t^2 equation:

85.375=t^2

We move all terms to the left:

85.375-(t^2)=0

We add all the numbers together, and all the variables

-1t^2+85.375=0

a = -1; b = 0; c = +85.375;
Δ = b2-4ac
Δ = 02-4·(-1)·85.375
Δ = 341.5
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{341.5}}{2*-1}=\frac{0-\sqrt{341.5}}{-2}
=-\frac{\sqrt{}}{-2}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{341.5}}{2*-1}=\frac{0+\sqrt{341.5}}{-2}
=\frac{\sqrt{}}{-2}
$