6x^2=1,734

Solution for 6x^2=1,734 equation:

6x^2=1.734

We move all terms to the left:

6x^2-(1.734)=0

We add all the numbers together, and all the variables

6x^2-1.734=0

a = 6; b = 0; c = -1.734;
Δ = b2-4ac
Δ = 02-4·6·(-1.734)
Δ = 41.616
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{41.616}}{2*6}=\frac{0-\sqrt{41.616}}{12}
=-\frac{\sqrt{}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{41.616}}{2*6}=\frac{0+\sqrt{41.616}}{12}
=\frac{\sqrt{}}{12}
$