11x^2-425=0

Solution for 11x^2-425=0 equation:

11x^2-425=0

a = 11; b = 0; c = -425;
Δ = b2-4ac
Δ = 02-4·11·(-425)
Δ = 18700
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:

$\sqrt{\Delta}=\sqrt{18700}=\sqrt{100*187}=\sqrt{100}*\sqrt{187}=10\sqrt{187}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{187}}{2*11}=\frac{0-10\sqrt{187}}{22}
=-\frac{10\sqrt{187}}{22}
=-\frac{5\sqrt{187}}{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{187}}{2*11}=\frac{0+10\sqrt{187}}{22}
=\frac{10\sqrt{187}}{22}
=\frac{5\sqrt{187}}{11}
$