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zloy xaker [14]
4 years ago
7

How do i Divide z4 by z-3

Mathematics
1 answer:
stich3 [128]4 years ago
7 0
Synthetic division:

3  |  1   0   0     0     0
... |  .    3   9   27   81
- - - - - - - - - - - - - - - -
... |  1   3   9   27   81

which translates to

\dfrac{z^4}{z-3}=z^3+3z^2+9z+27+\dfrac{81}{z-3}
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Need help with a system of equations
sweet [91]

Answer:

\boxed{x - y = -2\sqrt{7}}

Given:

x + y = 4 \\  \\  {x}^{2}  +  {y}^{2}  = 22 \\  \\  {x}^{4}  =  {y}^{4}  - 176 \sqrt{7}

Step-by-step explanation:

=  >  {x}^{4}  =  {y}^{4}  - 176 \sqrt{7}  \\  \\  =  >  {x}^{4}  -  {y}^{4}  =  - 176 \sqrt{7}  \\  \\  =  >  {( {x}^{2}) }^{2}  -  { ({y}^{2}) }^{2}  =  - 176 \sqrt{7}  \\  \\  =  > ( {x}^{2}  +  {y}^{2} )( {x}^{2}  -  {y}^{2} ) =  - 176 \sqrt{7}  \\  \\  =  > ( {x}^{2} +  {y}^{2})  (x + y)(x - y) =  - 176 \sqrt{?}  \\  \\  =  > 22 \times 4(x - y) =  - 176 \sqrt{7}  \\  \\  =  > 88(x - y) =  - 176 \sqrt{7}  \\  \\ =  >  x - y =  -  \frac{176 \sqrt{7} }{88}  \\  \\  =  > x - y =  - 2 \sqrt{7}

Identity used:

{x}^{2}  -  {y}^{2} = (x + y)(x - y)

7 0
4 years ago
Read 2 more answers
6 less than a number is -2 what is the number?
blagie [28]
4 is the number you want
3 0
4 years ago
Find the length of side a
velikii [3]

Answer:

12

Step-by-step explanation:

Hope  this helps

5 0
3 years ago
Read 2 more answers
if you’re good with set theory in math 30 please help with questions 31 and 32!! real answers only !!
GREYUIT [131]

Answer:  31) d     32) c

<u>Step-by-step explanation:</u>

31)

A = {1, 3, 5, 15}

B = {2, 3, 5, 7}

A ∪ B = {1, 2, 3, 5, 7, 15}

C = {2, 4, 6, 8}

(A ∪ B) ∩ C = {1, 2, 3, 5, 7, 15} ∩ {2, 4, 6, 8} = {2}

<em>2 is the only number in both sets</em>

32)

The pattern is: reflection, add symbol, ..., reflection, add symbol.

The last image shown is: add symbol

So the next image will be: reflection (flipped to the left)

7 0
3 years ago
What is the closest estimate for 179 divided by 9
vazorg [7]
179 / 9 is about 20 
exact = 19.888888
3 0
4 years ago
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