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(X^2)+1.2X=0.64
We move all terms to the left:
(X^2)+1.2X-(0.64)=0
We add all the numbers together, and all the variables
X^2+1.2X-0.64=0
a = 1; b = 1.2; c = -0.64;
Δ = b2-4ac
Δ = 1.22-4·1·(-0.64)
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{4}=2$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1.2)-2}{2*1}=\frac{-3.2}{2} =-1+1/1.66666666667 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.2)+2}{2*1}=\frac{0.8}{2} =0.8/2 $
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