Answer:
see explanation
Step-by-step explanation:
(a)
x² - 6x + 4 = 0 ( subtract 4 from both sides )
x² - 6x = - 4
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 4 + 9
(x - 3)² = 5 ( take the square root of both sides )
x - 3 = ± ( add 3 to both sides )
x = 3 ± ← exact solutions
(b)
4x² + 16x + 9 = 0
To complete the square
The coefficient of the x² term must be 1
Factor out 4 from 4x² + 16x
4(x² + 4x) + 9 = 0
add/subtract ( half the coefficient of the x- term )² to x² + 4x
4(x² + 2(2)x + 4 - 4 ) + 9 = 0
4(x + 2)² - 16 + 9 = 0
4(x + 2)² - 7 = 0 ( add 7 to both sides )
4(x + 2)² = 7 ( divide both sides by 4 )
(x + 2)² = ( take the square root of both sides )
x + 2 = ± = ± ( subtract 2 from both sides )
x = - 2 ± ← exact solutions
Answer:
(2, 3)
(3, 5)
(4, 7)
(5, 9)
(6, 11)
Step-by-step explanation:
2(2) - 1 = 3
2(3) - 1 = 5
2(4) - 1 = 7
2(5) - 1 = 9
2(6) - 1 = 11
Answer:
A
Step-by-step explanation:
example -2 is smaller than 1. and -7 is smaller than -2