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Lelu [443]
3 years ago
6

The product of two consecutive negative integers is 1122. What are the numbers? The product of two consecutive negative integers

is 1122. What are the numbers? @Mathematics
Mathematics
1 answer:
saw5 [17]3 years ago
4 0
Let the two numbers be -x and -x - 1, then
-x(-x - 1) = 1,122
x^2 + x = 1,122
x^2 + x + 1/4 = 1,122 + 1/4
(x + 1/2)^2 = 4,489/4
x + 1/2 = sqrt(4,489/4) = + or -67/2
x = 67/2 - 1/2 = 66/2 = 33

Therefore, the two numbers are -33 and -34
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4(5x + 9)^2 – 33 = -21
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Answer:

x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5

Step-by-step explanation by completing the square:

Solve for x over the real numbers:

4 (5 x + 9)^2 - 33 = -21

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5 x + 9 = sqrt(3) or 5 x + 9 = -sqrt(3)

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Divide both sides by 5:

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Subtract 9 from both sides:

x = sqrt(3)/5 - 9/5 or 5 x = -9 - sqrt(3)

Divide both sides by 5:

Answer:  x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5

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