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.39^3=p^2
We move all terms to the left:
.39^3-(p^2)=0
We add all the numbers together, and all the variables
-1p^2+0.059319=0
a = -1; b = 0; c = +0.059319;
Δ = b2-4ac
Δ = 02-4·(-1)·0.059319
Δ = 0.237276
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}$$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{0.237276}}{2*-1}=\frac{0-\sqrt{0.237276}}{-2} =-\frac{\sqrt{}}{-2} $$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.237276}}{2*-1}=\frac{0+\sqrt{0.237276}}{-2} =\frac{\sqrt{}}{-2} $
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