now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation. (x - 4)² = 25…

now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation. (x - 4)² = 25 complete choose the solutions to the quadratic equation x² - 8x - 9 = 0. -21 -1 9 29 done

now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation. (x - 4)² = 25 complete choose the solutions to the quadratic equation x² - 8x - 9 = 0. -21 -1 9 29 done

Answer

Explanation:

Step1: Factor the left - hand side of the equation

We know that (x^{2}-8x + 16=(x - 4)^{2}) by the perfect - square formula ((a - b)^2=a^{2}-2ab + b^{2}), where (a = x) and (b = 4). The equation ((x - 4)^{2}=25).

Step2: Apply the square - root property

If ((x - 4)^{2}=25), then (x-4=\pm\sqrt{25}=\pm5).

Step3: Solve for (x)

When (x - 4=5), (x=5 + 4=9); when (x - 4=-5), (x=-5 + 4=-1).

Answer:

B. - 1, C. 9