28x2=56

Solution for 28x2=56 equation:

28x^2=56

We move all terms to the left:

28x^2-(56)=0

a = 28; b = 0; c = -56;
Δ = b2-4ac
Δ = 02-4·28·(-56)
Δ = 6272
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:

$\sqrt{\Delta}=\sqrt{6272}=\sqrt{3136*2}=\sqrt{3136}*\sqrt{2}=56\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-56\sqrt{2}}{2*28}=\frac{0-56\sqrt{2}}{56}
=-\frac{56\sqrt{2}}{56}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+56\sqrt{2}}{2*28}=\frac{0+56\sqrt{2}}{56}
=\frac{56\sqrt{2}}{56}
=\sqrt{2}
$