x*x+5=3450

Solution for x*x+5=3450 equation:

x*x+5=3450

We move all terms to the left:

x*x+5-(3450)=0

We add all the numbers together, and all the variables

x*x-3445=0

Wy multiply elements

x^2-3445=0

a = 1; b = 0; c = -3445;
Δ = b2-4ac
Δ = 02-4·1·(-3445)
Δ = 13780
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:

$\sqrt{\Delta}=\sqrt{13780}=\sqrt{4*3445}=\sqrt{4}*\sqrt{3445}=2\sqrt{3445}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{3445}}{2*1}=\frac{0-2\sqrt{3445}}{2}
=-\frac{2\sqrt{3445}}{2}
=-\sqrt{3445}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{3445}}{2*1}=\frac{0+2\sqrt{3445}}{2}
=\frac{2\sqrt{3445}}{2}
=\sqrt{3445}
$