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0=-0.04x^2+7.1x+7.2
We move all terms to the left:
0-(-0.04x^2+7.1x+7.2)=0
We add all the numbers together, and all the variables
-(-0.04x^2+7.1x+7.2)=0
We get rid of parentheses
0.04x^2-7.1x-7.2=0
a = 0.04; b = -7.1; c = -7.2;
Δ = b2-4ac
Δ = -7.12-4·0.04·(-7.2)
Δ = 51.562
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{-(-7.1)-\sqrt{51.562}}{2*0.04}=\frac{7.1-\sqrt{51.562}}{0.08} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7.1)+\sqrt{51.562}}{2*0.04}=\frac{7.1+\sqrt{51.562}}{0.08} $
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