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# Algebra

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Find all values of r such that (r - 3)/sqrt(r) = -2*sqrt(r).

Dec 22, 2021

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$$\frac{r-3}{\sqrt{r}} = -2 \sqrt{r}$$

Since the denominator of the left side cannot be 0, √r ≠ 0, and r≠0.

Multiplying both sides by √r, we have r-3 = -2r.

Thus, 3r = 3 and r=1.

Dec 22, 2021