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Artemon [7]
3 years ago
12

Can someone tell me if this is the correct choice?

Mathematics
1 answer:
masya89 [10]3 years ago
3 0

Answer:

Step-by-step explanation:

It's not the correct choice. If a root is given, that is the same thing as the solution. We go backwards from a solution to a factor, which is what you need to do here.

If x = 2i is the solution, then the factor is

(x - 2i). Likewise, with the other one.

If x = 3i is the solution, then the factor is

(x - 3i). The leading coefficient of 1 just sits outside the first set of parenthesis, and because multiplication is commutative, it doesn't matter which set you put first. Thus, the one you want looks like this:

f(x) = (x - 2i)(x - 3i) or

f(x) = (x - 3i)(x - 2i).

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3 years ago
2/3 (3x+9)=-2 (2x+6)​
rosijanka [135]

Answer: x=−3

Step-by-step explanation: Let's solve your equation step-by-step.

2

3

(3x+9)=−2(2x+6)

Step 1: Simplify both sides of the equation.

2

3

(3x+9)=−2(2x+6)

(

2

3

)(3x)+(

2

3

)(9)=(−2)(2x)+(−2)(6)(Distribute)

2x+6=−4x+−12

2x+6=−4x−12

Step 2: Add 4x to both sides.

2x+6+4x=−4x−12+4x

6x+6=−12

Step 3: Subtract 6 from both sides.

6x+6−6=−12−6

6x=−18

Step 4: Divide both sides by 6.

6x

6

=

−18

6

x=−3

5 0
3 years ago
Read 2 more answers
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