v^2=5.25

Solution for v^2=5.25 equation:

v^2=5.25

We move all terms to the left:

v^2-(5.25)=0

We add all the numbers together, and all the variables

v^2-5.25=0

a = 1; b = 0; c = -5.25;
Δ = b2-4ac
Δ = 02-4·1·(-5.25)
Δ = 21
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{21}}{2*1}=\frac{0-\sqrt{21}}{2}
=-\frac{\sqrt{}}{2}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{21}}{2*1}=\frac{0+\sqrt{21}}{2}
=\frac{\sqrt{}}{2}
$