p2=20p

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Solution for p2=20p equation:



p2=20p
We move all terms to the left:
p2-(20p)=0
We add all the numbers together, and all the variables
p^2-20p=0
a = 1; b = -20; c = 0;
Δ = b2-4ac
Δ = -202-4·1·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-20}{2*1}=\frac{0}{2} =0 $
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+20}{2*1}=\frac{40}{2} =20 $

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