56y^2-168=0

Solution for 56y^2-168=0 equation:

56y^2-168=0

a = 56; b = 0; c = -168;
Δ = b2-4ac
Δ = 02-4·56·(-168)
Δ = 37632
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{37632}=\sqrt{12544*3}=\sqrt{12544}*\sqrt{3}=112\sqrt{3}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-112\sqrt{3}}{2*56}=\frac{0-112\sqrt{3}}{112}
=-\frac{112\sqrt{3}}{112}
=-\sqrt{3}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+112\sqrt{3}}{2*56}=\frac{0+112\sqrt{3}}{112}
=\frac{112\sqrt{3}}{112}
=\sqrt{3}
$