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x^2-1.8x+0.81=0.25
We move all terms to the left:
x^2-1.8x+0.81-(0.25)=0
We add all the numbers together, and all the variables
x^2-1.8x+0.56=0
a = 1; b = -1.8; c = +0.56;
Δ = b2-4ac
Δ = -1.82-4·1·0.56
Δ = 1
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{1}=1$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1.8)-1}{2*1}=\frac{0.8}{2} =0.8/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.8)+1}{2*1}=\frac{2.8}{2} =1+0.8/2 $
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