3 years ago

Solve the polynomial congruence x² ≡ 1(mod3).

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

3 0

Answer:

x is any integer not a multiple of 3

Step-by-step explanation:

This is equivalent to ...

(x mod 3)² = 1

x mod 3 = ±1 . . . . . . taking the square root

Possible values of x mod 3 are 0, 1, 2 (≅-1), so the only value excluded is 0.

x mod 3 ≠ 0 . . . . . . for any integer x

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Answer:

Step-by-step explanation:

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3 years ago

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Q(x) = x³ − 3x² + 6x – 2<br> Q(0)= <br> Q(1)=<br> Q(-2)=

Lerok [7]

Answer:

Q(0) = -2

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Step-by-step explanation:

Step 1: Define

Q(x) = x³ - 3x² + 6x - 2

Q(0) is x = 0

Q(1) is x = 1

Q(-2) is x = -2

Step 2: Substitute and Evaluate

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Q(1) = -2 + 6 - 2

Q(1) = -4 + 6

Q(1) = 2

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3 years ago

A piece of stained glass in the shape of a right triangle has sides measuring 8 cm, 15 cm, and 17 cm. what is the area of the pi

mars1129 [50]

We know that

[area of triangle]=b*h/2
b=15 units
h=8 units
[area of triangle]=15*8/2---------> 60 units ²

see the attached figure

the answer is
60 units ²

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3 years ago

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