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1=x^2+1.2x+0.36
We move all terms to the left:
1-(x^2+1.2x+0.36)=0
We get rid of parentheses
-x^2-1.2x-0.36+1=0
We add all the numbers together, and all the variables
-1x^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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1.2)-2}{2*-1}=\frac{-0.8}{-2} =0.8/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.2)+2}{2*-1}=\frac{3.2}{-2} =-1+1/1.6666666666667 $
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