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Given the equation below:

What is the value of p if p is positive?

Given the equation below: What is the value of p if p is positive?-example-1
User Mark Finkle
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1 Answer

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√(3p^2+6)-9=0\implies √(3p^2+6)=9\implies \stackrel{\textit{squaring both sides}}{(√(3p^2+6))^2=9^2} \\\\\\ √((3p^2+6)^2)=81\implies 3p^2+6=81\implies 3p^2=75 \\\\\\ p^2=\cfrac{75}{3}\implies p^2=25\implies p=\pm√(25)\implies p=\pm 5\implies \stackrel{positive}{p=5}

User Kaye
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