x*3x*9=486

Solution for x*3x*9=486 equation:

x*3x*9=486

We move all terms to the left:

x*3x*9-(486)=0

Wy multiply elements

27x^2*9-486=0

Wy multiply elements

243x^2-486=0

a = 243; b = 0; c = -486;
Δ = b2-4ac
Δ = 02-4·243·(-486)
Δ = 472392
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:

$\sqrt{\Delta}=\sqrt{472392}=\sqrt{236196*2}=\sqrt{236196}*\sqrt{2}=486\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-486\sqrt{2}}{2*243}=\frac{0-486\sqrt{2}}{486}
=-\frac{486\sqrt{2}}{486}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+486\sqrt{2}}{2*243}=\frac{0+486\sqrt{2}}{486}
=\frac{486\sqrt{2}}{486}
=\sqrt{2}
$