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Gnesinka [82]
2 years ago
15

Factor completely 81x2 − 100. (1 point) (10x − 9)(10x − 9) (10x − 9)(10x + 9) (9x − 10)(9x + 10) (9x − 10)(9x − 10)

Mathematics
1 answer:
MArishka [77]2 years ago
5 0

The complete factorization of the equation 81x² - 100 is; (9x - 10)(9x + 10)

<h3>How to factorize quadratic equations?</h3>

We are given the quadratic equation;

81x² - 100

Now, according to quadratic identities, we know that;

(a + b) * (a - b) = a² - b²

Now, our equation can also be expressed as;

81x² - 100 = 9²x² - 10²

Thus, applying the quadratic identity gives us;

(9x + 10)(9x - 10)

Read more about factorization of quadratic equations at; brainly.com/question/1214333

#SPJ1

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Write one digit on each side of 36 to make a four-digit multiple of 36. How many different solutions does this problem have?
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Answer:

  3 solutions: 1368, 5364, 9360

Step-by-step explanation:

In order to be divisible by 36, the number must be divisible by 9 and by 4. The number will be divisible by 9 if the sum of its digits is divisible by 9. 36 already has a digit sum of 9, so the two added digits must sum to 9.

The number will be divisible by 4 if the least-significant digit is a multiple of 4. That is, it must be 0, 4, or 8. Then the corresponding most-significant digits must be 9, 5, or 1.

The three solutions are ...

  1368 = 38 · 36

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