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x^2-1.2x=1.44
We move all terms to the left:
x^2-1.2x-(1.44)=0
We add all the numbers together, and all the variables
x^2-1.2x-1.44=0
a = 1; b = -1.2; c = -1.44;
Δ = b2-4ac
Δ = -1.22-4·1·(-1.44)
Δ = 7.2
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{-(-1.2)-\sqrt{7.2}}{2*1}=\frac{1.2-\sqrt{7.2}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.2)+\sqrt{7.2}}{2*1}=\frac{1.2+\sqrt{7.2}}{2} $
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