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44=v2-4
We move all terms to the left:
44-(v2-4)=0
We add all the numbers together, and all the variables
-(+v^2-4)+44=0
We get rid of parentheses
-v^2+4+44=0
We add all the numbers together, and all the variables
-1v^2+48=0
a = -1; b = 0; c = +48;
Δ = b2-4ac
Δ = 02-4·(-1)·48
Δ = 192
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}$$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{192}=\sqrt{64*3}=\sqrt{64}*\sqrt{3}=8\sqrt{3}$$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{3}}{2*-1}=\frac{0-8\sqrt{3}}{-2} =-\frac{8\sqrt{3}}{-2} =-\frac{4\sqrt{3}}{-1} $$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{3}}{2*-1}=\frac{0+8\sqrt{3}}{-2} =\frac{8\sqrt{3}}{-2} =\frac{4\sqrt{3}}{-1} $
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