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geniusboy [140]
3 years ago
6

What are all of the real roots of the following polynomial? f(x) = x4 - 24x2 - 25

Mathematics
2 answers:
MrMuchimi3 years ago
5 0
It factors as ...
  f(x) = (x² -25)(x² +1) = (x -5)(x +5)(x² +1)
A root will make one of the factors equal to zero. The quadratic factor has only complex roots.

The real roots are x = ±5.

AfilCa [17]3 years ago
4 0

Answer:

5, -5

Step-by-step explanation:

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Quadrilateral ABCD is dilated by a scale factor of 1 over 2 centered around (2, 2). Which statement is true about the dilation?
Musya8 [376]

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Option (1)

1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.

Step-by-step explanation:

The rest of the question is the attached figure (1).

The statement options are:

1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.

2) Segment B'D' will run through (2, 2) and will be longer than segment BD.

3) Segment B'D' will parallel to segment BD and will be shorter than segment BD.

4) Segment B'D' will be parallel to segment BD and will be longer than segment BD.

==============================================================

See the attched figure (2), which represents Quadrilateral ABCD and the image A'B'C'D'

As shown:

The quadrilateral ABCD with vertices A(1,2), B(2,3), C(4,2) and D(2,1).

Quadrilateral ABCD is dilated by a scale factor of 1 over 2 centered around (2, 2).

So,

The quadrilateral A'B'C'D' will be with vertices:

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Comparing the options with the figure (2):

So, the answer is option (1)

1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.

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