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algol13
2 years ago
15

The square of the sum of two consecutive positive even integers is greater than the sum of their squares by 48. Find the two int

egers.​
Mathematics
1 answer:
koban [17]2 years ago
3 0

Answer:

  • 4 and 6 or -6 and -4

Step-by-step explanation:

Let the numbers are 2x and 2x + 2.

<u>We have:</u>

  • (2x + 2x + 2)² = (2x)² + (2x + 2)² + 48
  • 4(2x + 1)² = 4x² + 4(x + 1)² + 48
  • (2x + 1)² = x² + (x + 1)² + 12
  • 4x² + 4x + 1 = x² + x² + 2x + 1 + 12
  • 2x² + 2x - 12 = 0
  • x² + x - 6 = 0
  • (x - 2)(x + 3) = 0
  • x = 2, x = -3

<u>The numbers are:</u>

  • 4 and 6 or - 6 and - 4

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5 0
2 years ago
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How would I set up question one?
Darina [25.2K]

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25x + 8 + 9x + 2 = 180

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8 0
2 years ago
Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressio
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Answer:

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Step-by-step explanation:

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b) The solution can be found as ...

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8 0
3 years ago
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Eddi Din [679]

Answer:

b = -2 2/3

Step-by-step explanation:

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First, subtract 5 from both sides:

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(-3b)/-3 = (8)/-3

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