46x2=92

Solution for 46x2=92 equation:

46x^2=92

We move all terms to the left:

46x^2-(92)=0

a = 46; b = 0; c = -92;
Δ = b2-4ac
Δ = 02-4·46·(-92)
Δ = 16928
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:

$\sqrt{\Delta}=\sqrt{16928}=\sqrt{8464*2}=\sqrt{8464}*\sqrt{2}=92\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-92\sqrt{2}}{2*46}=\frac{0-92\sqrt{2}}{92}
=-\frac{92\sqrt{2}}{92}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+92\sqrt{2}}{2*46}=\frac{0+92\sqrt{2}}{92}
=\frac{92\sqrt{2}}{92}
=\sqrt{2}
$