Answer:
If the roots of an equation are x = -1 ± i, it means that the factorized form of that equation is: (x + 1 + i)(x+ 1 - i) = 0.
Using the distributive property, we have:
(x + 1 + i)(x+ 1 - i) = x^2 + x - ix + x + 1 - i + ix + i + 1
Combining like-terms and simplifying:
⇒ x^2 + x + x + 1 + 1 = x^2 + 2x + 2 = 0
Therefore, the stament is correct. If the roots of an equation are x = -1 ± i, then the equation is: x^2 + 2x + 2 = 0.
Answer:
Mean = 151
MAD = 9.14
Step-by-step explanation:
Given the data:
135, 160, 145, 155, 170, 150, 142
Mean = Σx / n
Mean = 1057 / 7
Mean = 151
Mean absolute DEVIATION (MAD) : Σ(x - μ) / n
[(135-151) + (160-151) + (145-151) + (155-151) + (170-151) + (150-151) + (142-151)] / 7
Mean absolute deviation = 9.14
Answer:
Seven numbers.
Step-by-step explanation:
Finding the numbers, which are equal to the sum of two odd number and it has to be single digit number.
Lets look into numbers which are odd and single digit.
1 = 
∴ Sum of the number is 
3 = 
∴ Sum of above number is 
5 = 
∴ Sum of above number is 
7= 
∴ Sum of above number is 
Now, accumlating numbers which are fullfiling the criteria, however, making sure no number should get repeated.
∴ Numbers are: 
Hence, there are total 7 numbers, which are equal to the sum of two odd, one-digit numbers.