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

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Solve polynomial equations

Full solution

Q. Solve for

w

.

w^2 + 25 = 0

Write your answer in simplified, rationalized form.

w =

______ or

w =

______

Take Square Root: Now, take the square root of both sides to solve for $w$ . Remember to include both the positive and negative square roots. $w = \pm\sqrt{-25}$
Use Imaginary Number: Since the square root of a negative number involves an imaginary number, we write it as: $\newline$ w = $\pm\sqrt{25} \times \sqrt{-1}$ $\newline$ w = $\pm5i$

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