x^2*8=392

Solution for x^2*8=392 equation:

x^2*8=392

We move all terms to the left:

x^2*8-(392)=0

Wy multiply elements

8x^2-392=0

a = 8; b = 0; c = -392;
Δ = b2-4ac
Δ = 02-4·8·(-392)
Δ = 12544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12544}=112$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-112}{2*8}=\frac{-112}{16}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+112}{2*8}=\frac{112}{16}
=7
$