8x^2=1352

Solution for 8x^2=1352 equation:

8x^2=1352

We move all terms to the left:

8x^2-(1352)=0

a = 8; b = 0; c = -1352;
Δ = b2-4ac
Δ = 02-4·8·(-1352)
Δ = 43264
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{43264}=208$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-208}{2*8}=\frac{-208}{16}
=-13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+208}{2*8}=\frac{208}{16}
=13
$