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c^2-7.2c=3.76
We move all terms to the left:
c^2-7.2c-(3.76)=0
We add all the numbers together, and all the variables
c^2-7.2c-3.76=0
a = 1; b = -7.2; c = -3.76;
Δ = b2-4ac
Δ = -7.22-4·1·(-3.76)
Δ = 66.88
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{-(-7.2)-\sqrt{66.88}}{2*1}=\frac{7.2-\sqrt{66.88}}{2} $$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7.2)+\sqrt{66.88}}{2*1}=\frac{7.2+\sqrt{66.88}}{2} $
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