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sdas [7]
3 years ago
5

Leisure time important of leisure​

Mathematics
1 answer:
Daniel [21]3 years ago
6 0

Answer:

is this an essay question?

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Find all the zeros of the function <br> g(x)=x^3-4x^2-x+22
vagabundo [1.1K]

Answer:

x = -2, x = 3 − i√8, and x = 3 + i√8

Step-by-step explanation:

g(x) = x³ − 4x² − x + 22

This is a cubic equation, so it must have either 1 or 3 real roots.

Using rational root theorem, we can check if any of those real roots are rational.  Possible rational roots are ±1, ±2, ±11, and ±22.

g(-1) = 18

g(1) = 18

g(-2) = 0

g(2) = 12

g(-11) = 1782

g(11) = 858

g(-22) = -12540

g(22) = 8712

We know -2 is a root.  The other two roots are irrational.  To find them, we must find the other factor of g(x).  We can do this using long division, or we can factor using grouping.

g(x) = x³ − 4x² − 12x + 11x + 22

g(x) = x (x² − 4x − 12) + 11 (x + 2)

g(x) = x (x − 6) (x + 2) + 11 (x + 2)

g(x) = (x (x − 6) + 11) (x + 2)

g(x) = (x² − 6x + 11) (x + 2)

x² − 6x + 11 = 0

Quadratic formula:

x = [ 6 ± √(36 − 4(1)(11)) ] / 2

x = (6 ± 2i√8) / 2

x = 3 ± i√8

The three roots are x = -2, x = 3 − i√8, and x = 3 + i√8.

5 0
3 years ago
I need answer asap pls help
MariettaO [177]

Answer: A= (3,-3) . B(4,1). C= (1,0)

Step-by-step explanation:

7 0
3 years ago
The sum of two numbers is 31. The product of the two numbers is 150. What are the numbers?
mestny [16]
One way is to factor 150 and add the factors
150+1=151, nope
2+75=77, nope
3+50=53, nope
5+30=35, nope
6+25=31, yep

the numbers are 6 and 25
7 0
3 years ago
Read 2 more answers
Show your work and solve please!
bixtya [17]

Answer:

y = 3

Step-by-step explanation:

-5y + 8 = -7

subtract 8 from both sides

-5y = -15

now, divide -5 from both sides

y = 3

4 0
2 years ago
Read 2 more answers
Who knows the answer??
Vanyuwa [196]
14: no she got 69% 38/55 = 69%
8 0
3 years ago
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