196v^2-1=0

Solution for 196v^2-1=0 equation:

196v^2-1=0

a = 196; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·196·(-1)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28}{2*196}=\frac{-28}{392}
=-1/14
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28}{2*196}=\frac{28}{392}
=1/14
$