190x^2-25=0

Solution for 190x^2-25=0 equation:

190x^2-25=0

a = 190; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·190·(-25)
Δ = 19000
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:

$\sqrt{\Delta}=\sqrt{19000}=\sqrt{100*190}=\sqrt{100}*\sqrt{190}=10\sqrt{190}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{190}}{2*190}=\frac{0-10\sqrt{190}}{380}
=-\frac{10\sqrt{190}}{380}
=-\frac{\sqrt{190}}{38}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{190}}{2*190}=\frac{0+10\sqrt{190}}{380}
=\frac{10\sqrt{190}}{380}
=\frac{\sqrt{190}}{38}
$