4v2-54=-5

Solution for 4v2-54=-5 equation:

4v^2-54=-5

We move all terms to the left:

4v^2-54-(-5)=0

We add all the numbers together, and all the variables

4v^2-49=0

a = 4; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·4·(-49)
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*4}=\frac{-28}{8}
=-3+1/2
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28}{2*4}=\frac{28}{8}
=3+1/2
$