Answer:
x = 9 + 6i or x = 9 - 6i
Step-by-step explanation:
x² - 18x + 117 = 0
Complete the square and solve:
(x - 9)² - 81 + 117 = 0
(x - 9)² + 36 = 0
(x - 9)² = -36
x - 9 = ±sqrt(-36)
x - 9 = ±sqrt(-1).sqrt(36)
i = imaginary number = sqrt(-1)
x - 9 = ±6i
x = 9 ± 6i
There are no real solutions, only imaginary ones
9 + 6i and 9 - 6i
Answer:
The larger integer is .
Step-by-step explanation:
Given: Two times the smaller of two consecutive integers is equal to more than the larger.
To find: The larger integer.
Solution:
Let the two consecutive integers be and , where the smaller integer is and larger integer is .
Now, according to question.
Two times the smaller integer more than the larger integer.
So, the smaller integer is , and the larger integer is
Hence, the larger integer is