which equation results from taking the square root of both sides of (x - 9)^2 = 81?\no x - 9 = ±9\no x + 9 =…
which equation results from taking the square root of both sides of (x - 9)^2 = 81?\no x - 9 = ±9\no x + 9 = ±9\no x + 3 = ±9\no x - 3 = ±9
Answer
Explanation:
Step1: Apply square - root property
If (a^{2}=b) ((b\geq0)), then (a = \pm\sqrt{b}). Given ((x - 9)^{2}=81), taking the square root of both sides gives (x - 9=\pm\sqrt{81}).
Step2: Simplify the right - hand side
Since (\sqrt{81}=9), the equation becomes (x - 9=\pm9).
Answer:
A. (x - 9=\pm9)