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:
Step-by-step explanation:
a. (11x) + (22x)= 33x
b. (-6x) - (-6x) = 0
c. (-13) + (14x) - (+13t) = -13t + 14x - 13
d. (-4t) + (+4t) - (-6t) = 6t
Answer:
If k = −1 then the system has no solutions.
If k = 2 then the system has infinitely many solutions.
The system cannot have unique solution.
Step-by-step explanation:
We have the following system of equations
The augmented matrix is
The reduction of this matrix to row-echelon form is outlined below.
The last row determines, if there are solutions or not. To be consistent, we must have k such that
Case k = −1:
If k = −1 then the last equation becomes 0 = −2 which is impossible.Therefore, the system has no solutions.
Case k = 2:
This gives the infinite many solution.
17.24
Since 7 comes after 5 we need to round to the next number.....18.00
17.24 rounded to ones = 18.00
Hope I helped:P