Problem

10. Solve: $(20-r)^{\frac{1}{2}}=r$

Answer

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Answer

\(\boxed{r = -5, r = 4}\)

Steps

Step 1 :Square both sides of the equation: $(20-r)^2 = r^2$

Step 2 :Rearrange the equation to form a quadratic equation: $r^2 + r - 20 = 0$

Step 3 :Solve the quadratic equation for $r$: $r = -5$ and $r = 4$

Step 4 :\(\boxed{r = -5, r = 4}\)

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