29.5^2+46.5^2=c^2

Solution for 29.5^2+46.5^2=c^2 equation:

29.5^2+46.5^2=c^2

We move all terms to the left:

29.5^2+46.5^2-(c^2)=0

We add all the numbers together, and all the variables

-1c^2+3032.5=0

a = -1; b = 0; c = +3032.5;
Δ = b2-4ac
Δ = 02-4·(-1)·3032.5
Δ = 12130
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{12130}}{2*-1}=\frac{0-\sqrt{12130}}{-2}
=-\frac{\sqrt{}}{-2}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{12130}}{2*-1}=\frac{0+\sqrt{12130}}{-2}
=\frac{\sqrt{}}{-2}
$