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2 years ago

What is the smallest possible value for the product of 2 integers that differ by 7

Mathematics

1 answer:

Nookie1986 [14]2 years ago

3 0

Let 2 integers that differ by 7 <span>are x , x+7
</span>
let the product of the <span>2 integers that differ by 7 is y
</span><span>
</span>
<span>∴ y = x(x+7) = x² + 7x
</span><span>
</span>
<span>By graphing y = x² + 7x ⇒⇒⇒ see the attached figure
</span>
There is a minimum point at x = -3.5 which give y = -12.25
∵ The product of two integers will be an integer number
So, the nearest integer number to the minimum value = -12

∴ <span>The smallest possible value for the product of 2 integers that differ by 7 is (-12)
</span>

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