Question

Help with this please?Greatly appreciate it

Answer 1

Answer:

x= 4±√30

Step-by-step explanation:

x^2-8x-14=0

x^2-8x=14

(8/2)^2=16

add 16 to both sides

x^2-8x+16=30

square root both sides

x-4= √30

add 4

x= 4±√30

Answer 2

Answer:

x = 4 ± $\sqrt{30}$

Step-by-step explanation:

Given

x² - 8x - 14 = 0 ( add 14 to both sides )

x² - 8x = 14

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 14 + 16, that is

(x - 4)² = 30 ( take the square root of both sides )

x - 4 = ± $\sqrt{30}$ ( add 4 to both sides )

x = 4 ± $\sqrt{30}$, thus the exact solutions are

x = 4 - $\sqrt{30}$

x = 4 + $\sqrt{30}$