3,174=6x^2

Solution for 3,174=6x^2 equation:

3.174=6x^2

We move all terms to the left:

3.174-(6x^2)=0

a = -6; b = 0; c = +3.174;
Δ = b2-4ac
Δ = 02-4·(-6)·3.174
Δ = 76.176
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{76.176}}{2*-6}=\frac{0-\sqrt{76.176}}{-12}
=-\frac{\sqrt{}}{-12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{76.176}}{2*-6}=\frac{0+\sqrt{76.176}}{-12}
=\frac{\sqrt{}}{-12}
$