x^2+1=1850

Solution for x^2+1=1850 equation:

x^2+1=1850

We move all terms to the left:

x^2+1-(1850)=0

We add all the numbers together, and all the variables

x^2-1849=0

a = 1; b = 0; c = -1849;
Δ = b2-4ac
Δ = 02-4·1·(-1849)
Δ = 7396
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7396}=86$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-86}{2*1}=\frac{-86}{2}
=-43
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+86}{2*1}=\frac{86}{2}
=43
$