56x^2=350

Solution for 56x^2=350 equation:

56x^2=350

We move all terms to the left:

56x^2-(350)=0

a = 56; b = 0; c = -350;
Δ = b2-4ac
Δ = 02-4·56·(-350)
Δ = 78400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{78400}=280$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-280}{2*56}=\frac{-280}{112}
=-2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+280}{2*56}=\frac{280}{112}
=2+1/2
$