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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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3 years ago
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3 years ago
What is the true solution In 20+In 5=2 In x?
S_A_V [24]

Answer:

x = 10

Step-by-step explanation:

Using the rules of logarithms

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7 0
3 years ago
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makvit [3.9K]

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The First choice

Step-by-step explanation:

8 0
3 years ago
GIVE CORRECT ANS FOR BRAINLIEST
gizmo_the_mogwai [7]
<h3>Solution:</h3>

2 \frac{5}{6} - 2 \frac{1}{2}  \\  =  \frac{17}{6}  -  \frac{5}{2}   \\  =  \frac{17 - 15}{6}  \\  =  \frac{2}{6}  \\  =  \frac{1}{2}

<h3>Answer:</h3>

\frac{1}{2}

Hope it helps.

Do comment if you have any query.

7 0
2 years ago
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