2x^2-185=0

Solution for 2x^2-185=0 equation:

2x^2-185=0

a = 2; b = 0; c = -185;
Δ = b2-4ac
Δ = 02-4·2·(-185)
Δ = 1480
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:

$\sqrt{\Delta}=\sqrt{1480}=\sqrt{4*370}=\sqrt{4}*\sqrt{370}=2\sqrt{370}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{370}}{2*2}=\frac{0-2\sqrt{370}}{4}
=-\frac{2\sqrt{370}}{4}
=-\frac{\sqrt{370}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{370}}{2*2}=\frac{0+2\sqrt{370}}{4}
=\frac{2\sqrt{370}}{4}
=\frac{\sqrt{370}}{2}
$