50b^2=250

Solution for 50b^2=250 equation:

50b^2=250

We move all terms to the left:

50b^2-(250)=0

a = 50; b = 0; c = -250;
Δ = b2-4ac
Δ = 02-4·50·(-250)
Δ = 50000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{50000}=\sqrt{10000*5}=\sqrt{10000}*\sqrt{5}=100\sqrt{5}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{5}}{2*50}=\frac{0-100\sqrt{5}}{100}
=-\frac{100\sqrt{5}}{100}
=-\sqrt{5}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{5}}{2*50}=\frac{0+100\sqrt{5}}{100}
=\frac{100\sqrt{5}}{100}
=\sqrt{5}
$