4x Find the root(s) of the equation \( x^{2}=121 \). A \( x=\sqrt{11} \) \( 4 \times \quad \) B \( \quad x= \pm \sqrt{11} \) \( 4 \times \quad \) D \( x= \pm 11 \)
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To find the roots of the equation \( x^{2}=121 \), we can take the square root of both sides. This gives us \( x = \pm 11 \). So the correct answer is \( x = \pm 11 \) (option D). Notably, the squaring function is unique because while it converts positive and negative numbers into the same positive result, square roots give us both the positive and negative solutions. This is an important concept in algebra that helps ensure we don’t miss any possible solutions!
