900+x^2=5625

Solution for 900+x^2=5625 equation:

900+x^2=5625

We move all terms to the left:

900+x^2-(5625)=0

We add all the numbers together, and all the variables

x^2-4725=0

a = 1; b = 0; c = -4725;
Δ = b2-4ac
Δ = 02-4·1·(-4725)
Δ = 18900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{18900}=\sqrt{900*21}=\sqrt{900}*\sqrt{21}=30\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{21}}{2*1}=\frac{0-30\sqrt{21}}{2}
=-\frac{30\sqrt{21}}{2}
=-15\sqrt{21}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{21}}{2*1}=\frac{0+30\sqrt{21}}{2}
=\frac{30\sqrt{21}}{2}
=15\sqrt{21}
$