100x^2=196

Solution for 100x^2=196 equation:

100x^2=196

We move all terms to the left:

100x^2-(196)=0

a = 100; b = 0; c = -196;
Δ = b2-4ac
Δ = 02-4·100·(-196)
Δ = 78400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{78400}=280$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-280}{2*100}=\frac{-280}{200}
=-1+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+280}{2*100}=\frac{280}{200}
=1+2/5
$