u^2=1849

Solution for u^2=1849 equation:

u^2=1849

We move all terms to the left:

u^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:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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