50x2-200=0

Solution for 50x2-200=0 equation:

50x^2-200=0

a = 50; b = 0; c = -200;
Δ = b2-4ac
Δ = 02-4·50·(-200)
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200}{2*50}=\frac{-200}{100}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200}{2*50}=\frac{200}{100}
=2
$