Answer:
x = - 1, x = 7
Step-by-step explanation:
Given
x² - 6x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3) x + 9 = 7 + 9
(x - 3)² = 16 ( take the square root of both sides )
x - 3 = ± [tex]\sqrt{16}[/tex] = ± 4
Add 3 to both sides
x = 3 ± 4, that is
x = 3 + 4 = 7 or x = 3 - 4 = - 1
Answer:
x=-1 , x=7
Step-by-step explanation:
x²-6x-7=0
(x)² - 2(x)(3) +(3)² -7 - (3)²=0------------(adding and removing 9 to make it a complete square)
(x-3)² -7-9=0
(x-3)²-16=0
(x-3)² - (4)²= 0
(x-3+4)(x-3-4)=0
(x+1)(x-7)=0
(x+1)=0⇒x=-1
(x-7)=0⇒x=7
