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3 years ago

The product of two consecutive even integers is 440.. what are the positive and negative integers?

Mathematics

1 answer:

shutvik [7]3 years ago

5 0

Positive integers are 20,22 and negative integers are -22,-20.

Step-by-step explanation:

Let,

2 positive integers are x, x+2

According to given statement;

$x(x+2)=440\\x^{2}+2x=440\\x^{2}+2x-440=0\\x^{2}+22x-20x-440=0\\x(x+22)-20(x+22)=0\\(x+22)(x-20)=0\\Either,\\x+22=0\\x=-22\\Or,\\x-20=0\\x=20$

If x=-22

Then,

x+2 = -22+2 = -20

Or,

x=20

x+2 = 20+2 = 22

Positive integers are 20,22 and negative integers are -22,-20.

Keywords: Integers, Multiplication

Learn more about multiplication at:

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