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-18x^2+6400x-430.200=0
We add all the numbers together, and all the variables
-18x^2+6400x-430.2=0
a = -18; b = 6400; c = -430.2;
Δ = b2-4ac
Δ = 64002-4·(-18)·(-430.2)
Δ = 40929025.6
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{-(6400)-\sqrt{40929025.6}}{2*-18}=\frac{-6400-\sqrt{40929025.6}}{-36} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6400)+\sqrt{40929025.6}}{2*-18}=\frac{-6400+\sqrt{40929025.6}}{-36} $
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