0.8=0.1794x^2

Solution for 0.8=0.1794x^2 equation:

0.8=0.1794x^2

We move all terms to the left:

0.8-(0.1794x^2)=0

We get rid of parentheses

-0.1794x^2+0.8=0

a = -0.1794; b = 0; c = +0.8;
Δ = b2-4ac
Δ = 02-4·(-0.1794)·0.8
Δ = 0.57408
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{0.57408}}{2*-0.1794}=\frac{0-\sqrt{0.57408}}{-0.3588}
=-\frac{\sqrt{}}{-0.3588}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.57408}}{2*-0.1794}=\frac{0+\sqrt{0.57408}}{-0.3588}
=\frac{\sqrt{}}{-0.3588}
$