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AysviL [449]
3 years ago
14

What are the real and complex solutions of the polynomial equation X^3-216=0

Mathematics
1 answer:
vazorg [7]3 years ago
3 0

Answer:

6,\ -3+3\sqrt{3}i,\ -3-3\sqrt{3}i

Step-by-step explanation:

Factor the equation x^3-216=0 using formula for difference of the cubes:

x^3-216=(x-6)(x^2+6x+36),

then

x-6=0\ or\ x^2+6x+36=0.

1. The equation x-6=0 has real solution x=6.

2. The equation x^2+6x+36=0 has negative discriminant D=6^2-4\cdot 36=36-144=-108, then it has two complex solutions

x_{1,2}=\dfrac{-6\pm 6\sqrt{3}i}{2}=-3\pm3\sqrt{3}i.

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What is a simple formula to solve a math sequence? Or a couple formulas if possible? Thanks!
-Dominant- [34]
2 normal types of sequences:

1. arythmetic sequences: each term is the same distance to the next term, example, 2,4,6,8, distance is 2

2. geometric sequences: the ratio of consecutive terms is the same, example: 2,4,8,16, ratio is 4:2=2:1, 2/1=2


the nth term is denoted by a_{n}
the first term is represented by a_{1}

for arythmetic sequences, the nth tem is
a_{n}=a_{1}(n-1)d where d=distance between each term

for geometric sequences the nth term is
[tex] a_{n}=a_{1}r^{n-1} where r=ratio betwen consecutive terms

7 0
3 years ago
If R = .06 units <br> D = ?
mezya [45]
D = 0.12
Explanation:
Diameter is 2x the radius
Since radius is .06 you do .06 x 2 which gives you an answer of 0.12
D = 0.12
3 0
2 years ago
Read 2 more answers
Put a digit in the gap, such that the answer is a whole number<br><br> 10x+11=144...
d1i1m1o1n [39]

Answer:

the answer is 1

Step-by-step explanation:

If you do 1441-11 you get 1430.

no other number gives you 0.

8 0
3 years ago
Multiplying to Fractions 
ExtremeBDS [4]

Answer:

B. No. The product of two fractions is the product of the numerators divided by the product of the denominators.

Step-by-step explanation:

For A: A is clearly false because you can multiply any fraction and it doesnt matter what the denominator is.

For B: The first part is correct, which is that to multiply two fractions, they dont have to have like/common denominators, the explanation part is also correct. When we multiply we multiply the numerator to the numerator and the denominator to the denominator.

For C: C is false because the first part says yes and we know that you can multiply any 2 fractions regardless of denominators.

For D: For D the first part is correct however, the explanation section is false you dont multiply the numerator to the denominator.

For E: You don't have to find the equivalent fraction to multiply because you can do that afterward.

I hope this helps, have a blessed day! :D

3 0
2 years ago
Curtis threw 15 darts at a dartboard.40% of his darts hit the bull’s eye.how many darts not hit the bulls eye?
Harlamova29_29 [7]

Answer:

9

Step-by-step explanation:

The number of darts that failed to hit the bulls eye is 40% of 15 subtracted from 15

Since 40% of the darts hit the bulls eye .

Therefore

40% of 15

40/100 x 15

0.4 x 15

6

This means that 6 darts hit the bulls eye.

Therefore,number of darts that did not hit the bulls eye is

15 - 6 = 9

9 darts failed to hit the bulls eye

7 0
3 years ago
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