20p^2+p-1=0

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Solution for 20p^2+p-1=0 equation:



20p^2+p-1=0
a = 20; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·20·(-1)
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-9}{2*20}=\frac{-10}{40} =-1/4 $
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+9}{2*20}=\frac{8}{40} =1/5 $

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