25x^2-144x+121=0

Solution for 25x^2-144x+121=0 equation:

25x^2-144x+121=0

a = 25; b = -144; c = +121;
Δ = b2-4ac
Δ = -1442-4·25·121
Δ = 8636
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:

$\sqrt{\Delta}=\sqrt{8636}=\sqrt{4*2159}=\sqrt{4}*\sqrt{2159}=2\sqrt{2159}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-144)-2\sqrt{2159}}{2*25}=\frac{144-2\sqrt{2159}}{50}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-144)+2\sqrt{2159}}{2*25}=\frac{144+2\sqrt{2159}}{50}
$