19x^2-80=0

Solution for 19x^2-80=0 equation:

19x^2-80=0

a = 19; b = 0; c = -80;
Δ = b2-4ac
Δ = 02-4·19·(-80)
Δ = 6080
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:

$\sqrt{\Delta}=\sqrt{6080}=\sqrt{64*95}=\sqrt{64}*\sqrt{95}=8\sqrt{95}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{95}}{2*19}=\frac{0-8\sqrt{95}}{38}
=-\frac{8\sqrt{95}}{38}
=-\frac{4\sqrt{95}}{19}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{95}}{2*19}=\frac{0+8\sqrt{95}}{38}
=\frac{8\sqrt{95}}{38}
=\frac{4\sqrt{95}}{19}
$