25x2-11=0

Solution for 25x2-11=0 equation:

25x^2-11=0

a = 25; b = 0; c = -11;
Δ = b2-4ac
Δ = 02-4·25·(-11)
Δ = 1100
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:

$\sqrt{\Delta}=\sqrt{1100}=\sqrt{100*11}=\sqrt{100}*\sqrt{11}=10\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{11}}{2*25}=\frac{0-10\sqrt{11}}{50}
=-\frac{10\sqrt{11}}{50}
=-\frac{\sqrt{11}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{11}}{2*25}=\frac{0+10\sqrt{11}}{50}
=\frac{10\sqrt{11}}{50}
=\frac{\sqrt{11}}{5}
$