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Solve for pp. \newline−32p2−8=0-32p^2 - 8 = 0\newlineWrite your answer in simplified, rationalized form. \newlinep=p = ______ or p=p = ______

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Full solution

Q. Solve for pp. \newline−32p2−8=0-32p^2 - 8 = 0\newlineWrite your answer in simplified, rationalized form. \newlinep=p = ______ or p=p = ______
  1. Divide by −32-32: Next, divide both sides by −32-32 to solve for p2p^2.\newline−32p2/−32=8/−32-32p^2 / -32 = 8 / -32\newlinep2=−1/4p^2 = -1/4
  2. Take square root: Now, take the square root of both sides to solve for pp. Remember that taking the square root gives us two solutions, one positive and one negative. p=−14p = \sqrt{-\frac{1}{4}} or p=−−14p = -\sqrt{-\frac{1}{4}}

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