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-.05x^2+35=20
We move all terms to the left:
-.05x^2+35-(20)=0
We add all the numbers together, and all the variables
-0.05x^2+15=0
a = -0.05; b = 0; c = +15;
Δ = b2-4ac
Δ = 02-4·(-0.05)·15
Δ = 3
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{3}}{2*-0.05}=\frac{0-\sqrt{3}}{-0.1} =-\frac{\sqrt{}}{-0.1} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3}}{2*-0.05}=\frac{0+\sqrt{3}}{-0.1} =\frac{\sqrt{}}{-0.1} $
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