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anonymous

  • 5 years ago

Among all pairs of numbers whose difference is 10, find a pair whose product is as small as possible. What is the minimum product? a. the pairs of numbers whose difference is 10 and whose product is as small as possible is___ b. The minimum product is___

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  1. anonymous
    • 5 years ago
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    bet it is -5 and 5

  2. anonymous
    • 5 years ago
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    call one number x, the other x + 10 then their product is \[x(x+10)=x^2+10x\]

  3. anonymous
    • 5 years ago
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    this thing has a minimum value at \[x=-\frac{b}{2a}=-\frac{10}{2}=-5\]

  4. anonymous
    • 5 years ago
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    x = -5, x+10 = 5 and their product is -25

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