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0.5x^2-2.5x=-3
We move all terms to the left:
0.5x^2-2.5x-(-3)=0
We add all the numbers together, and all the variables
0.5x^2-2.5x+3=0
a = 0.5; b = -2.5; c = +3;
Δ = b2-4ac
Δ = -2.52-4·0.5·3
Δ = 0.25
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{-(-2.5)-\sqrt{0.25}}{2*0.5}=\frac{2.5-\sqrt{0.25}}{1} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.5)+\sqrt{0.25}}{2*0.5}=\frac{2.5+\sqrt{0.25}}{1} $
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