49x2=256

Solution for 49x2=256 equation:

49x^2=256

We move all terms to the left:

49x^2-(256)=0

a = 49; b = 0; c = -256;
Δ = b2-4ac
Δ = 02-4·49·(-256)
Δ = 50176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{50176}=224$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-224}{2*49}=\frac{-224}{98}
=-2+2/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+224}{2*49}=\frac{224}{98}
=2+2/7
$