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DiKsa [7]
3 years ago
15

Find the value of c that makes the trinomial a perfect square.

Mathematics
2 answers:
Vsevolod [243]3 years ago
8 0

Answer:

a

Step-by-step explanation:

Given

x² - 2x + c

is a perfect square of the form

(x - a)² = x² - 2ax + a² compare with x² - 2x + c, then

- 2a = - 2 ⇒ a = 1, thus

a² = 1² = 1 = c

(x - 1)² = x² - 2x + 1 ← perfect square trinomial

Dafna1 [17]3 years ago
4 0

Answer:

<h2>a. 1</h2>

Step-by-step explanation:

(a-b)^2=a^2-2ab+b^2\\\\\text{We have}\ x^2-2x+c=x^2-2(x)(1)+c.\\\\\text{Therefore}\ c=1^2=1\\\\x^2-2(x)(1)+1^2=(x-1)^2

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