6x*x=92

Solution for 6x*x=92 equation:

6x*x=92

We move all terms to the left:

6x*x-(92)=0

Wy multiply elements

6x^2-92=0

a = 6; b = 0; c = -92;
Δ = b2-4ac
Δ = 02-4·6·(-92)
Δ = 2208
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:

$\sqrt{\Delta}=\sqrt{2208}=\sqrt{16*138}=\sqrt{16}*\sqrt{138}=4\sqrt{138}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{138}}{2*6}=\frac{0-4\sqrt{138}}{12}
=-\frac{4\sqrt{138}}{12}
=-\frac{\sqrt{138}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{138}}{2*6}=\frac{0+4\sqrt{138}}{12}
=\frac{4\sqrt{138}}{12}
=\frac{\sqrt{138}}{3}
$