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30=0.005q^2
We move all terms to the left:
30-(0.005q^2)=0
We get rid of parentheses
-0.005q^2+30=0
a = -0.005; b = 0; c = +30;
Δ = b2-4ac
Δ = 02-4·(-0.005)·30
Δ = 0.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{0.6}}{2*-0.005}=\frac{0-\sqrt{0.6}}{-0.01} =-\frac{\sqrt{}}{-0.01} $$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.6}}{2*-0.005}=\frac{0+\sqrt{0.6}}{-0.01} =\frac{\sqrt{}}{-0.01} $
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