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0=0.007x^2+0.003x-9
We move all terms to the left:
0-(0.007x^2+0.003x-9)=0
We add all the numbers together, and all the variables
-(0.007x^2+0.003x-9)=0
We get rid of parentheses
-0.007x^2-0.003x+9=0
a = -0.007; b = -0.003; c = +9;
Δ = b2-4ac
Δ = -0.0032-4·(-0.007)·9
Δ = 0.252009
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{-(-0.003)-\sqrt{0.252009}}{2*-0.007}=\frac{0.003-\sqrt{0.252009}}{-0.014} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.003)+\sqrt{0.252009}}{2*-0.007}=\frac{0.003+\sqrt{0.252009}}{-0.014} $
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