4p*p=1080

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Solution for 4p*p=1080 equation:



4p*p=1080
We move all terms to the left:
4p*p-(1080)=0
Wy multiply elements
4p^2-1080=0
a = 4; b = 0; c = -1080;
Δ = b2-4ac
Δ = 02-4·4·(-1080)
Δ = 17280
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{17280}=\sqrt{576*30}=\sqrt{576}*\sqrt{30}=24\sqrt{30}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{30}}{2*4}=\frac{0-24\sqrt{30}}{8} =-\frac{24\sqrt{30}}{8} =-3\sqrt{30} $
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{30}}{2*4}=\frac{0+24\sqrt{30}}{8} =\frac{24\sqrt{30}}{8} =3\sqrt{30} $

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