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skad [1K]
3 years ago
9

How many solutions over the complex number system does this polynomial have? 7x^5-33x^4-4x^2+3x+52=0

Mathematics
2 answers:
telo118 [61]3 years ago
8 0
Hello : 
in : C
5 solutions
Harrizon [31]3 years ago
7 0

Answer:

Over the complex number there exist two roots.

Step-by-step explanation:

Given : Polynomial 7x^5-33x^4-4x^2+3x+52=0

To find : How many solutions over the complex number system does this polynomial have?                

Solution :

Descartes' rule of sign is used to determine the number of real zeros of a polynomial function.

Let f(x)=7x^5-33x^4-4x^2+3x+52

Now, for positive roots write the sign of f(x) and note the changes,

f(x)=+ - - + + i.e, from + to - and - to + two times sign changes.

So, Two positive roots.

Now, for negative roots write the sign of f(-x) and note the changes,

f(-x)=- - - + + i.e, from - to + one time sign changes.

So, One negative roots.

Since, The polynomial is of 5 degree so five roots exist.

i.e, rest two roots are complex.

Therefore, Over the complex number there exist two roots.

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The figure shows the dimensions of a wall having a door and window of a room. Write an algebraic expression for the area of the
qwelly [4]

Answer:

Area of the wall to be painted = (11x² + 12x) square units

Step-by-step explanation:

The figure that should be attached to this question is missing. The figure was obtained and is attached to this solution provided.

From the image attached, it is given that the dimension of the rectangular wall to be painted is (4x+3) by (4x), the dimensions of the window is (2x) by (x) and the dimensions of the door is (x) by (3x).

Since, the window space and the door space cannot be painted along with the wall, the Area of the rectangular wall that will be painted will be given by the expression

(Total Area of the rectangular wall) - [(Area of window space) + (Area of door space)]

Area of a rectangular figure = Length × Breadth

Total area of rectangular wall = (4x+3) × 4x = (16x² + 12x) square units

Area of window space = (2x) × (x) = (2x²) square units

Area of door space = (x) × (3x) = (3x²) square units

Area of the wall to be painted = (16x² + 12x) - (2x² + 3x²)

= 16x² + 12x - 5x²

= (11x² + 12x) square units

Hope this Helps!!!

6 0
3 years ago
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Can someone please help me with this, I'm having trouble
dexar [7]
This is another one for my "impossible math question" file. All of the answer choices are wrong. (None applies.)

According to the problem statement, the length you have marked "x" in the diagram is 15 inches. If the side length of one of the pavers is "s", then the Pythagorean theorem tells us
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  s² = 225/5 = 45 . . . . . . the area of one square is 45 in² (not 225 in²)

Then
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so the perimeter is
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The area of the 6-block L-shaped path is
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And the total perimeter is 14 sides, so is
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_____
In cases like this where the answer key is incorrect, you might try asking your teacher show the class how to work the problem.
7 0
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