Solve the equation. $x^2=100$

Mathematics

1 answer:

Xelga [282]4 years ago

3 0

$ = 10

10^2 = 100

Hope that helps

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$\displaystyle 4.\overline{15} = \frac{137}{33}$ .

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Let $x = 0.151515\cdots$ . $(x + 4)$ would then represent the original number.

Note that the repeating digits appear in groups of two. Therefore, if the digits in $x$ are shifted to the left by two places, the repeating part will continue to match:

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Note, that this "shifting" is as simple as multiplying the initial number by $100$ (same as $10$ raised to the power of the number of digits that needs to be shifted.)