56.25-x^2=0

Solution for 56.25-x^2=0 equation:

56.25-x^2=0

We add all the numbers together, and all the variables

-1x^2+56.25=0

a = -1; b = 0; c = +56.25;
Δ = b2-4ac
Δ = 02-4·(-1)·56.25
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-15}{2*-1}=\frac{-15}{-2}
=7+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+15}{2*-1}=\frac{15}{-2}
=-7+1/2
$