16+x^2=72.25

Solution for 16+x^2=72.25 equation:

16+x^2=72.25

We move all terms to the left:

16+x^2-(72.25)=0

We add all the numbers together, and all the variables

x^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
$