2x2-2=164

Solution for 2x2-2=164 equation:

2x^2-2=164

We move all terms to the left:

2x^2-2-(164)=0

We add all the numbers together, and all the variables

2x^2-166=0

a = 2; b = 0; c = -166;
Δ = b2-4ac
Δ = 02-4·2·(-166)
Δ = 1328
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:

$\sqrt{\Delta}=\sqrt{1328}=\sqrt{16*83}=\sqrt{16}*\sqrt{83}=4\sqrt{83}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{83}}{2*2}=\frac{0-4\sqrt{83}}{4}
=-\frac{4\sqrt{83}}{4}
=-\sqrt{83}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{83}}{2*2}=\frac{0+4\sqrt{83}}{4}
=\frac{4\sqrt{83}}{4}
=\sqrt{83}
$