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0=1.6-3.2x+0.6x^2
We move all terms to the left:
0-(1.6-3.2x+0.6x^2)=0
We add all the numbers together, and all the variables
-(1.6-3.2x+0.6x^2)=0
We get rid of parentheses
-0.6x^2+3.2x-1.6=0
a = -0.6; b = 3.2; c = -1.6;
Δ = b2-4ac
Δ = 3.22-4·(-0.6)·(-1.6)
Δ = 6.4
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3.2)-\sqrt{6.4}}{2*-0.6}=\frac{-3.2-\sqrt{6.4}}{-1.2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3.2)+\sqrt{6.4}}{2*-0.6}=\frac{-3.2+\sqrt{6.4}}{-1.2} $
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