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Lera25 [3.4K]
2 years ago
15

What is root -9 + root -12 written as a complex number in the form a + bi ?

Mathematics
1 answer:
patriot [66]2 years ago
3 0

Answer:

Step-by-step explanation:

I assume you are talking about square roots when you say root...

Sqrt(-9) = 3i

Sqrt(-12) = 2Sqrt(3)i

Complex number is 3 + 2Sqrt(3) i

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A Girl Scout had 5x-12 boxes of cookies and sells 3x+18 of them. Write an expression to represent the amount of boxes she has le
nika2105 [10]
So...

= (5x-12) - (3x+18)

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4 years ago
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Consider the polynomial p(x) = x^3 + 4x^2 + 6x − 36.
Nady [450]

Answer:

a. attached graph; zero real: 2

b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

Step-by-step explanation:

p(x) = x³ + 4x² + 6x - 36

a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.

p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0

b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.

2 |  1     4     6    -36

     1      6    18     0

x² + 6x + 18 = 0

Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²

√Δ = 6i

x = -6±6i/2 = 2(-3±3i)/2

x' = -3-3i

x" = -3+3i

p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

4 0
3 years ago
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umka2103 [35]

It is given in the question that

Steven is solving the equation

3(8-2x)+40=34

He begins with the following two steps.

Step 1: 3(8)+3(-2x)+40=34  Step 2: 24-6x+40=34

And we have to find , what will be the next step in solving the equation.

First we combine the like terms. And the like terms are 24 and 40. So we have to add 24 and 40. And that will be the next step.

So the correct option is the last option.

8 0
3 years ago
Please help
sergejj [24]
I found this on an app I used it by completing the square but it didn't show this

6 0
3 years ago
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