10x^2-1250=0

Solution for 10x^2-1250=0 equation:

10x^2-1250=0

a = 10; b = 0; c = -1250;
Δ = b2-4ac
Δ = 02-4·10·(-1250)
Δ = 50000
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:

$\sqrt{\Delta}=\sqrt{50000}=\sqrt{10000*5}=\sqrt{10000}*\sqrt{5}=100\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{5}}{2*10}=\frac{0-100\sqrt{5}}{20}
=-\frac{100\sqrt{5}}{20}
=-5\sqrt{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{5}}{2*10}=\frac{0+100\sqrt{5}}{20}
=\frac{100\sqrt{5}}{20}
=5\sqrt{5}
$