P=m2/2-m

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Solution for P=m2/2-m equation:



=P2/2-P
We move all terms to the left:
-(P2/2-P)=0
Domain of the equation: 2-P)!=0
We move all terms containing P to the left, all other terms to the right
-P)!=-2
P!=-2/1
P!=-2
P∈R
We add all the numbers together, and all the variables
-(-1P+P2/2)=0
We get rid of parentheses
1P-P2/2=0
We multiply all the terms by the denominator
1P*2-P2=0
We add all the numbers together, and all the variables
-1P^2+1P*2=0
Wy multiply elements
-1P^2+2P=0
a = -1; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-1)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-1}=\frac{-4}{-2} =+2 $
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-1}=\frac{0}{-2} =0 $

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