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20=-0.04x^2+28
We move all terms to the left:
20-(-0.04x^2+28)=0
We get rid of parentheses
0.04x^2-28+20=0
We add all the numbers together, and all the variables
0.04x^2-8=0
a = 0.04; b = 0; c = -8;
Δ = b2-4ac
Δ = 02-4·0.04·(-8)
Δ = 1.28
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{-(0)-\sqrt{1.28}}{2*0.04}=\frac{0-\sqrt{1.28}}{0.08} =-\frac{\sqrt{}}{0.08} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1.28}}{2*0.04}=\frac{0+\sqrt{1.28}}{0.08} =\frac{\sqrt{}}{0.08} $
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