16^4=49x^2

Solution for 16^4=49x^2 equation:

16^4=49x^2

We move all terms to the left:

16^4-(49x^2)=0

We add all the numbers together, and all the variables

-49x^2+65536=0

a = -49; b = 0; c = +65536;
Δ = b2-4ac
Δ = 02-4·(-49)·65536
Δ = 12845056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12845056}=3584$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3584}{2*-49}=\frac{-3584}{-98}
=36+4/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3584}{2*-49}=\frac{3584}{-98}
=-36+4/7
$