Answer:
x = - 3 or x = 7
Step-by-step explanation:
Given
f(x) = x² - 4x + 6
If f(x) = 27, then equating gives
x² - 4x + 6 = 27 ( subtract 27 from both sides )
x² - 4x - 21 = 0 ← in standard form
Consider the factors of the constant term ( - 21) which sum to give the coefficient of the x- term ( - 4)
The factors are - 7 and + 3, since
- 7 × 3 = - 21 and - 7 + 3 = - 4, hence
(x - 7)(x + 3) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 7 = 0 ⇒ x = 7
The first and third graphs are both negative, so we can rule them out. Also, the fourth graph has no correlation, so we can rule that out. That leaves us with the final and correct answer, graph B.
Hope this helps!
Answer:
2(2−1)
Step-by-step explanation:
4−2
Grouping
Common factor
4−2
2(2−1)
Solution
2(2−1)
