1000x^2-225=0

Solution for 1000x^2-225=0 equation:

1000x^2-225=0

a = 1000; b = 0; c = -225;
Δ = b2-4ac
Δ = 02-4·1000·(-225)
Δ = 900000
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:

$\sqrt{\Delta}=\sqrt{900000}=\sqrt{90000*10}=\sqrt{90000}*\sqrt{10}=300\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-300\sqrt{10}}{2*1000}=\frac{0-300\sqrt{10}}{2000}
=-\frac{300\sqrt{10}}{2000}
=-\frac{3\sqrt{10}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+300\sqrt{10}}{2*1000}=\frac{0+300\sqrt{10}}{2000}
=\frac{300\sqrt{10}}{2000}
=\frac{3\sqrt{10}}{20}
$