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x(2)+1.6x=0.36
We move all terms to the left:
x(2)+1.6x-(0.36)=0
We add all the numbers together, and all the variables
x^2+1.6x-0.36=0
a = 1; b = 1.6; c = -0.36;
Δ = b2-4ac
Δ = 1.62-4·1·(-0.36)
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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1.6)-2}{2*1}=\frac{-3.6}{2} =-1+1/1.25 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.6)+2}{2*1}=\frac{0.4}{2} =0.4/2 $
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