49^4=25x^2

Solution for 49^4=25x^2 equation:

49^4=25x^2

We move all terms to the left:

49^4-(25x^2)=0

We add all the numbers together, and all the variables

-25x^2+5764801=0

a = -25; b = 0; c = +5764801;
Δ = b2-4ac
Δ = 02-4·(-25)·5764801
Δ = 576480100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576480100}=24010$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24010}{2*-25}=\frac{-24010}{-50}
=480+1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24010}{2*-25}=\frac{24010}{-50}
=-480+1/5
$