fultonthomasa fultonthomasa
  • 25-11-2020
  • Mathematics
contestada

Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial.
\[x^2 + 22x + \underline{~~~~}.\]

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khanhchijuveams khanhchijuveams
  • 25-11-2020
121.

Check: x^2+22x+121=(x+11)^2
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Аноним Аноним
  • 25-11-2020

Answer: 121

Step-by-step explanation:

The formula for the square of sums is [tex](a+b)^2=a^2+2ab+b^2[/tex].

Applying the formula, we see that the only option for b is 11 squared, or 121.

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