Question

Which of the following are solutions to the equation below?

Answer 1

Answer:

x = 5 ± $\sqrt{17}$

Step-by-step explanation:

Given

x² - 10x + 25 = 17 ← left side is a perfect square, thus

(x - 5)² = 17 ( take the square root of both sides )

x - 5 = ± $\sqrt{17}$ ( add 5 to both sides )

x = 5 ± $\sqrt{17}$

Thus

x = 5 - $\sqrt{17}$

x = 5 + $\sqrt{17}$