x^2=1850

Solution for x^2=1850 equation:

x^2=1850

We move all terms to the left:

x^2-(1850)=0

a = 1; b = 0; c = -1850;
Δ = b2-4ac
Δ = 02-4·1·(-1850)
Δ = 7400
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:

$\sqrt{\Delta}=\sqrt{7400}=\sqrt{100*74}=\sqrt{100}*\sqrt{74}=10\sqrt{74}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{74}}{2*1}=\frac{0-10\sqrt{74}}{2}
=-\frac{10\sqrt{74}}{2}
=-5\sqrt{74}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{74}}{2*1}=\frac{0+10\sqrt{74}}{2}
=\frac{10\sqrt{74}}{2}
=5\sqrt{74}
$