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0=v2-2v-80
We move all terms to the left:
0-(v2-2v-80)=0
We add all the numbers together, and all the variables
-(+v^2-2v-80)+0=0
We add all the numbers together, and all the variables
-(+v^2-2v-80)=0
We get rid of parentheses
-v^2+2v+80=0
We add all the numbers together, and all the variables
-1v^2+2v+80=0
a = -1; b = 2; c = +80;
Δ = b2-4ac
Δ = 22-4·(-1)·80
Δ = 324
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{324}=18$$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-18}{2*-1}=\frac{-20}{-2} =+10 $$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+18}{2*-1}=\frac{16}{-2} =-8 $
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