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18=-0.07x^2+49
We move all terms to the left:
18-(-0.07x^2+49)=0
We get rid of parentheses
0.07x^2-49+18=0
We add all the numbers together, and all the variables
0.07x^2-31=0
a = 0.07; b = 0; c = -31;
Δ = b2-4ac
Δ = 02-4·0.07·(-31)
Δ = 8.68
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{8.68}}{2*0.07}=\frac{0-\sqrt{8.68}}{0.14} =-\frac{\sqrt{}}{0.14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{8.68}}{2*0.07}=\frac{0+\sqrt{8.68}}{0.14} =\frac{\sqrt{}}{0.14} $
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