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Solve for ww.w2+25=0w^2 + 25 = 0Write your answer in simplified, rationalized form.w=w = ______ or w=w = ______

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Full solution

Q. Solve for ww.w2+25=0w^2 + 25 = 0Write your answer in simplified, rationalized form.w=w = ______ or w=w = ______
  1. Take Square Root: Now, take the square root of both sides to solve for ww. Remember to include both the positive and negative square roots.w=±−25w = \pm\sqrt{-25}
  2. Use Imaginary Number: Since the square root of a negative number involves an imaginary number, we write it as:\newlinew = ±25×−1\pm\sqrt{25} \times \sqrt{-1}\newlinew = ±5i\pm5i

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