49v^2=16

Solution for 49v^2=16 equation:

49v^2=16

We move all terms to the left:

49v^2-(16)=0

a = 49; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·49·(-16)
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-56}{2*49}=\frac{-56}{98}
=-4/7
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+56}{2*49}=\frac{56}{98}
=4/7
$