0=-2.5p^2+550p

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Solution for 0=-2.5p^2+550p equation:



0=-2.5p^2+550p
We move all terms to the left:
0-(-2.5p^2+550p)=0
We add all the numbers together, and all the variables
-(-2.5p^2+550p)=0
We get rid of parentheses
2.5p^2-550p=0
a = 2.5; b = -550; c = 0;
Δ = b2-4ac
Δ = -5502-4·2.5·0
Δ = 302500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{302500}=550$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-550)-550}{2*2.5}=\frac{0}{5} =0 $
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-550)+550}{2*2.5}=\frac{1100}{5} =220 $

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