10-250x^2=0

Solution for 10-250x^2=0 equation:

10-250x^2=0

a = -250; b = 0; c = +10;
Δ = b2-4ac
Δ = 02-4·(-250)·10
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100}{2*-250}=\frac{-100}{-500}
=1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100}{2*-250}=\frac{100}{-500}
=-1/5
$