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trasher [3.6K]
3 years ago
9

Which of the following is a solution of x2 + 6x = −18? x = 3 − 3i x = −3 + 3i x = −6 + 3i x = 6 − 3i

Mathematics
2 answers:
Marina86 [1]3 years ago
6 0

Step 1 ) Move all terms right side of the equation.

\displaystyle\ x^{2} + 6x = -18

\displaystyle\ x^{2} + 6x + 18 = -18 + 18

\displaystyle\ x^{2} +6x + 18 = 0

Step 2 ) Apply quadratic formula. (Note: There are 2 solutions)

\displaystyle\ x^{2} +6x + 18 = 0

\displaystyle\ x = \frac{-b\sqrt{b^{2}-4ac}}{2a}, \displaystyle\ x = \frac{-b-\sqrt{b^{2}-4ac}}{2a}

\displaystyle\ x = \frac{-6+\sqrt{6^{2}-4 * 18}}{2} , \displaystyle\ x = \frac{-6-\sqrt{6^{2}-4*18}}{2}

\displaystyle\ x = \frac{-6+6i}{2} ,

\displaystyle\ x = \frac{-6-6i}{2}

Step 3 ) Simplify.

\displaystyle\ x = \frac{-6+6i}{2} ,

\displaystyle\ x = \frac{-6-6i}{2}

\displaystyle\ x = -3+ 3i,

\displaystyle\ x = -3 - 3i

Since the options only provide one of the answer we found, the answer is...

\displaystyle\ x = -3 - 3i

•

•

- <em>Marlon Nunez</em>

dlinn [17]3 years ago
4 0

Answer:

x=-3+3i

Step-by-step explanation:

since it could either be x=-3+3i or x=-3-3i. the answer only allows for x=-3+3i then that is your answer.

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A number cube with faces labeled from 1 to 6 will be rolled once.
kramer

Answer:

\Omega=\{1,2,3,4,5,6\}

A=\{1,2,3,4\}

Step-by-step explanation:

<u>Sample Space</u>

The sample space of a random experience is a set of all the possible outcomes of that experience. It's usually denoted by the letter \Omega.

We have a number cube with all faces labeled from 1 to 6. That cube is to be rolled once. The visible number shown in the cube is recorded as the outcome. The possible outcomes are listed as the sample space below:

\Omega=\{1,2,3,4,5,6\}

Now we are required to give the outcomes for the event of rolling a number less than 5. Let's call A to such event. The set of possible outcomes for A has all the numbers from 1 to 4 as follows

A=\{1,2,3,4\}

3 0
3 years ago
Need help finding answer
Tresset [83]

Answer:

x=5

Explanation:

Begin to isolate x by adding 12 on both sides of the equation

5x=2x+15

Subtract

2x on both sides of the equation

3x=15

Isolate x by dividing both sides of the equation by

3x=5

8 0
2 years ago
17 subtracted from x is at least 19
Alex Ar [27]
x-17 \leq 19

x \leq 36
4 0
3 years ago
How do u do x2-x1 in math
Damm [24]
The answer is x
the question suppose to be 2x - 1x
6 0
3 years ago
Can someone answer this question please answer it correctly if it’s correct I will mark you brainliest
Marina86 [1]

Answer:

Harry staining his shirt.

Step-by-step explanation:

1/5 = 20%

Larry = 15%

5 0
3 years ago
Read 2 more answers
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