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Lelu [443]
4 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]4 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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Substitution method <br><br> x-7y=-9<br> -x+8y=10
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Answer:

x = -2, y=1

Step-by-step explanation:

x-7y=-9---------------------equation 1

-x+8y=10-------------------equation 2

From equation 1, make x the subject of formula

x=7y-9----------------------equation 3

substituting x=7y-9 in equation 2,

-(7y-9)+8y=10

Expanding bracket

-7y+9+8y=10

Collecting like terms

8y-7y=10-9

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substituting y=1 in 3

x=7(1)-9

x=7-9

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Helen [10]

Answer:

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Step-by-step explanation:

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The order in which we multiply these quantities together is immaterial.

Working from left to right, we get:

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Step-by-step explanation:

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