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0.6=0.10+v^2/2.9.8
We move all terms to the left:
0.6-(0.10+v^2/2.9.8)=0
We get rid of parentheses
-v^2/2.9.8-0.10+0.6=0
We multiply all the terms by the denominator
-v^2-(0.10)*2.9.8+(0.6)*2.9.8=0
We add all the numbers together, and all the variables
-v^2-(0.1)*2.9.8+(0.6)*2.9.8=0
We add all the numbers together, and all the variables
-1v^2+1.16=0
a = -1; b = 0; c = +1.16;
Δ = b2-4ac
Δ = 02-4·(-1)·1.16
Δ = 4.64
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{4.64}}{2*-1}=\frac{0-\sqrt{4.64}}{-2} =-\frac{\sqrt{}}{-2} $$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{4.64}}{2*-1}=\frac{0+\sqrt{4.64}}{-2} =\frac{\sqrt{}}{-2} $
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