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0=-0.08x^2+8.2x
We move all terms to the left:
0-(-0.08x^2+8.2x)=0
We add all the numbers together, and all the variables
-(-0.08x^2+8.2x)=0
We get rid of parentheses
0.08x^2-8.2x=0
a = 0.08; b = -8.2; c = 0;
Δ = b2-4ac
Δ = -8.22-4·0.08·0
Δ = 67.24
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{-(-8.2)-\sqrt{67.24}}{2*0.08}=\frac{8.2-\sqrt{67.24}}{0.16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8.2)+\sqrt{67.24}}{2*0.08}=\frac{8.2+\sqrt{67.24}}{0.16} $
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