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dedylja [7]
3 years ago
6

If c is a real number and if 1 + i is a solution of the equation x^2 -2x + c = 0, what is the value of c?

Mathematics
2 answers:
Nana76 [90]3 years ago
6 0

Answer:

c = 2

Step-by-step explanation:

Substitute x = 1 + i into the equation

(1 + i)² - 2(1 + i) + c = 0 ← distribute left side

1 + 2i + i² - 2 - 2i + c = 0 ( note that i² = - 1 )

1 + 2i - 1 - 2 - 2i + c = 0 ← collect like terms on left

- 2 + c = 0 ( add 2 to both sides )

c = 2

Mekhanik [1.2K]3 years ago
6 0

Answer:

c = 2.

Step-by-step explanation:

Complex solutions come in conjugate pairs so the other solution is 1 - i.

So we have:

(x - (1 + i)(x - (1 - i) = 0

(x - 1 - i)(x - 1 + i) = 0

x^2 - x + ix - x + 1 - i  -ix  +i - i^2 = 0

x^2  -2x  + 1 - i^2 = 0

x^2 - 2x + 1 + 1 = 0

x^2 - 2x + 2 = 0

c = 2.

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2 years ago
Humberly has $24 and they want to buy at least 8 containers of yogurt. Yogurt is packaged in both large and small containers. La
yanalaym [24]

Answer:

Hence he will be 4 large containers and 4 small containers

Step-by-step explanation:

Given data

Let the number of small containers be x

and the number of large containers be y

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also

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the system of equation to solve the problem is

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from 1

x=8-y

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2(8-y)+4y= 24

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6 0
2 years ago
This too!!<br><br><br><br><br> . <br> Please<br><br><br><br><br> .
REY [17]

Answer:

In order to tell if these are congruent triangles we would need to know if angles Y and V were congruent, angles X and W are congruent or if segments XU and WU were congruent.

Step-by-step explanation:

Any of these would work because you can use two different methods to telling that these are congruent triangles.

The first method is called side-angle-side. In it you need two side lengths that are congruent with a congruent angle in the middle. Since we already know that the right angle in the middle is congruent, and we know YU and VU are congruent, we would just need to know the additional side to prove congruence.

The second method is called angle, angle side. In this we need to know that two angles in a row are congruent followed by a side. Since we know the middle angle is the same, knowing either other angles would give us this method as well.

8 0
3 years ago
Using your answer from #3, how many hours will
Sphinxa [80]

Answer:

5 hours cuz 75 divided by 15 is 5 or 15 x 5 is 75

3 0
2 years ago
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olya-2409 [2.1K]
Leslie has 2.50
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