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krok68 [10]
2 years ago
8

What number should be added to the expression x2 14x to change it into a perfect square trinomial?.

Mathematics
1 answer:
makkiz [27]2 years ago
8 0

Answer:

  49

Step-by-step explanation:

When you look at the square of a binomial, you see ...

  (x +a)^2 = x^2 +(2a)x +a^2

The constant value (a^2) is <em>the square of half the x-coefficient</em>.

  (14/2)^2 = 49 . . . . the value to be added.

Adding 49 gives ...

  x^2 +14x +49 = (x +7)^2

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