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0=-0.5x^2+5x
We move all terms to the left:
0-(-0.5x^2+5x)=0
We add all the numbers together, and all the variables
-(-0.5x^2+5x)=0
We get rid of parentheses
0.5x^2-5x=0
a = 0.5; b = -5; c = 0;
Δ = b2-4ac
Δ = -52-4·0.5·0
Δ = 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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{25}=5$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-5}{2*0.5}=\frac{0}{1} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+5}{2*0.5}=\frac{10}{1} =10 $
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