Question

Will someone help me with the 2 highlighted questions? I did them already but idk if they are correct.

Answer 1

14) x = 5, and x = -5

16) x = 4 + √10 and x = 4 - √10

Explanation:

14)

x^2 - 25 = 0

Add 25 to both sides

x^2 = 25

Take square root each side

x = 5, and x = -5

16)

x^2 - 8x = -6

Add (-4)^2 to both sides

x^2 - 8x + (-4)^2 = -6 + (-4)^2

Simplifying

x^2 - 8x + 16 = - 6 + 16

(x - 4)^2 = 10

Take square root each side

x - 4 = + - √10

Add 4 to both sides

x = 4 + √10 and x = 4 - √10