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Solve for qq.\newlineq2=−25q^2 = -25\newlineWrite your answer in simplified, rationalized form.\newlineq = ______ or q = ______

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Full solution

Q. Solve for qq.\newlineq2=−25q^2 = -25\newlineWrite your answer in simplified, rationalized form.\newlineq = ______ or q = ______
  1. Take square root: Now, take the square root of both sides to solve for qq. Remember that the square root of a negative number involves an imaginary number, ii. q=±−25q = \pm\sqrt{-25}
  2. Simplify square root: Simplify the square root. Since 25\sqrt{25} is 55 and the square root of −1-1 is ii, we get: q=±5iq = \pm 5i

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