10x^2=6250

Solution for 10x^2=6250 equation:

10x^2=6250

We move all terms to the left:

10x^2-(6250)=0

a = 10; b = 0; c = -6250;
Δ = b2-4ac
Δ = 02-4·10·(-6250)
Δ = 250000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{250000}=500$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-500}{2*10}=\frac{-500}{20}
=-25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+500}{2*10}=\frac{500}{20}
=25
$