6x^2-3=555

Solution for 6x^2-3=555 equation:

6x^2-3=555

We move all terms to the left:

6x^2-3-(555)=0

We add all the numbers together, and all the variables

6x^2-558=0

a = 6; b = 0; c = -558;
Δ = b2-4ac
Δ = 02-4·6·(-558)
Δ = 13392
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:

$\sqrt{\Delta}=\sqrt{13392}=\sqrt{144*93}=\sqrt{144}*\sqrt{93}=12\sqrt{93}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{93}}{2*6}=\frac{0-12\sqrt{93}}{12}
=-\frac{12\sqrt{93}}{12}
=-\sqrt{93}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{93}}{2*6}=\frac{0+12\sqrt{93}}{12}
=\frac{12\sqrt{93}}{12}
=\sqrt{93}
$