25x^2=250

Solution for 25x^2=250 equation:

25x^2=250

We move all terms to the left:

25x^2-(250)=0

a = 25; b = 0; c = -250;
Δ = b2-4ac
Δ = 02-4·25·(-250)
Δ = 25000
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:

$\sqrt{\Delta}=\sqrt{25000}=\sqrt{2500*10}=\sqrt{2500}*\sqrt{10}=50\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-50\sqrt{10}}{2*25}=\frac{0-50\sqrt{10}}{50}
=-\frac{50\sqrt{10}}{50}
=-\sqrt{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+50\sqrt{10}}{2*25}=\frac{0+50\sqrt{10}}{50}
=\frac{50\sqrt{10}}{50}
=\sqrt{10}
$