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xeze [42]
3 years ago
15

What is an exact solution for

" alt="m \sqrt{14} " align="absmiddle" class="latex-formula">
​

Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0

Answer: Choice B)  \sqrt{14}

We have some value m and we're squaring it to get m^2

To undo this and isolate m, we apply the square root to both sides

m^2 = 14\\\\\sqrt{m^2} = \sqrt{14}\\\\|m| = \sqrt{14}\\\\m = \sqrt{14} \text{ or } m = -\sqrt{14}

There are two solutions here. This is similar to how there are two solutions in something like x^2 = 25 (those two solutions being x = 5 and x = -5). Squaring any negative number leads to a positive result because

negative times negative = positive.

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