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nadezda [96]
3 years ago
10

4. If the expression 25y^2- 70y+d is a perfect square, where d is a constant, find the

Mathematics
2 answers:
xeze [42]3 years ago
6 0

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Levart [38]3 years ago
3 0

Answer:

d = 49

Step-by-step explanation:

Given that the expression is a perfect square of the form

(ay - b)² = a²y² - 2aby + b²

Then comparing like terms

a²y² = 25y², that is

a² = 25 ⇒ a = 5

and -2aby = - 70y, thus

2ab = 70, that is

2(5)b = 70

10b = 70 ⇒ b = 7

b² = 7² = 49

Hence

25y² - 70y + d = (5y - 7)² = 25y² - 70y + 49

Thus d = 49

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