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nordsb [41]
3 years ago
12

Find the value of $c$ that makes $x^2+20x+c$ a perfect square trinomial. $c=$ Write the expression as the square of a binomial.

The expression is .
Mathematics
2 answers:
Airida [17]3 years ago
7 0

Answer:

c = 100 makes this a perfect square trinomial

Step-by-step explanation:

x^2+20x+c\\x^2+20x+100\\=(x+10)^{2}

horrorfan [7]3 years ago
5 0

9514 1404 393

Answer:

  • c = 100
  • (x +10)²

Step-by-step explanation:

The square of a binomial is ...

  (x +a)² = x² +2ax + a²

Comparing this to your expression, we have ...

  2a = 20 . . . . x-coefficient

  a² = c . . . . . . constant term

Then ...

  a = 20/2 = 10

  a² = 10² = 100 = c

The square is then ...

  (x +10)²

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This question s incomplete, the complete question is;

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.

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Step-by-step explanation:

Given the data in the question;

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