32.49+c^2=243.36

Solution for 32.49+c^2=243.36 equation:

32.49+c^2=243.36

We move all terms to the left:

32.49+c^2-(243.36)=0

We add all the numbers together, and all the variables

c^2-210.87=0

a = 1; b = 0; c = -210.87;
Δ = b2-4ac
Δ = 02-4·1·(-210.87)
Δ = 843.48
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{843.48}}{2*1}=\frac{0-\sqrt{843.48}}{2}
=-\frac{\sqrt{}}{2}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{843.48}}{2*1}=\frac{0+\sqrt{843.48}}{2}
=\frac{\sqrt{}}{2}
$