8x^2=1568

Solution for 8x^2=1568 equation:

8x^2=1568

We move all terms to the left:

8x^2-(1568)=0

a = 8; b = 0; c = -1568;
Δ = b2-4ac
Δ = 02-4·8·(-1568)
Δ = 50176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{50176}=224$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-224}{2*8}=\frac{-224}{16}
=-14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+224}{2*8}=\frac{224}{16}
=14
$