2x^2=37.21

Solution for 2x^2=37.21 equation:

2x^2=37.21

We move all terms to the left:

2x^2-(37.21)=0

We add all the numbers together, and all the variables

2x^2-37.21=0

a = 2; b = 0; c = -37.21;
Δ = b2-4ac
Δ = 02-4·2·(-37.21)
Δ = 297.68
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{297.68}}{2*2}=\frac{0-\sqrt{297.68}}{4}
=-\frac{\sqrt{}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{297.68}}{2*2}=\frac{0+\sqrt{297.68}}{4}
=\frac{\sqrt{}}{4}
$