5p^2-10p-120=0

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Solution for 5p^2-10p-120=0 equation:



5p^2-10p-120=0
a = 5; b = -10; c = -120;
Δ = b2-4ac
Δ = -102-4·5·(-120)
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-50}{2*5}=\frac{-40}{10} =-4 $
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+50}{2*5}=\frac{60}{10} =6 $

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