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alexandr1967 [171]
3 years ago
13

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The roots of an equ

ation are x = -1 ± i. The equation is x2 + + 2 = 0.
Mathematics
1 answer:
Inessa [10]3 years ago
5 0

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.

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Round 7,883 to nearest thousand
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Answer:

8,000

Step-by-step explanation:

the nearest thousand is 8,000 as it is past 7,500.

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Please help me ASAP, thanks!
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Solve this system algebraically.
seraphim [82]
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Or 9x+4x-6=5
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3 years ago
There are 17 trees along the road from Basil's home to a swimming pool. On his way way to and from a swim Basil marks some trees
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Answer:

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4 0
3 years ago
Use the augmented matrix to determine if the linear system is consistent. Is the linear system represented by the augmented matr
Crazy boy [7]

Answer:

The correct option is (A).

Step-by-step explanation:

If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.

\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right]

Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:

\left[\begin{array}{ccccc}1&0&0&0&a\\0&1&0&0&b\\0&0&1&0&c\\0&0&0&1&d\end{array}\right]

Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.

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3 years ago
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