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12.72^2=2c^2
We move all terms to the left:
12.72^2-(2c^2)=0
We add all the numbers together, and all the variables
-2c^2+161.7984=0
a = -2; b = 0; c = +161.7984;
Δ = b2-4ac
Δ = 02-4·(-2)·161.7984
Δ = 1294.3872
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{1294.3872}}{2*-2}=\frac{0-\sqrt{1294.3872}}{-4} =-\frac{\sqrt{}}{-4} $$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1294.3872}}{2*-2}=\frac{0+\sqrt{1294.3872}}{-4} =\frac{\sqrt{}}{-4} $
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