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Vikki [24]
2 years ago
14

What two numbers add to 6 and multiply to 58

Mathematics
1 answer:
Korvikt [17]2 years ago
5 0

The two numbers which add to 6 and multiply to 58 are; 3+7i and 3-7i

<h3>Simultaneous equations;</h3>

According to the question;

  • let the two numbers be; x and y.

Hence;

  • x+ y = 6
  • xy = 58

  • x = 6-y which can the be be substituted into equation (ii) so that we have;

(6-y)y = 58

6y -y² = 58

y² - 6y +58 = 0

By solving quadratically; we have;

  • y = 3 + 7i Or y = 3-7i

  • x = 3 - 7i Or x = 3+7i

Read more on complex roots;

brainly.com/question/7130449

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Hello!

\large\boxed{4 : 3 \text{ and } 16 : 12}

We can go through each answer to verify whether each is equivalent to 8 : 6.

4 : 3 is equivalent to 8 : 6 because reducing the ratio 8 : 6  by a factor of 2 yields 4 : 3.

6 : 8 is not equivalent to 8 : 6 because the ratio is reversed.

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7 : 5 is not equal to 8 : 6 for the same reason.

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4 : 3 and 16 : 12.

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