23x2=46

Solution for 23x2=46 equation:

23x^2=46

We move all terms to the left:

23x^2-(46)=0

a = 23; b = 0; c = -46;
Δ = b2-4ac
Δ = 02-4·23·(-46)
Δ = 4232
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:

$\sqrt{\Delta}=\sqrt{4232}=\sqrt{2116*2}=\sqrt{2116}*\sqrt{2}=46\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-46\sqrt{2}}{2*23}=\frac{0-46\sqrt{2}}{46}
=-\frac{46\sqrt{2}}{46}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+46\sqrt{2}}{2*23}=\frac{0+46\sqrt{2}}{46}
=\frac{46\sqrt{2}}{46}
=\sqrt{2}
$