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Which of the following constants can be added to x^2 - 3x to form a perfect square trinomial?
A. 1 1/2
B. 2 1/4
C. 4 1/2

1 Answer

4 votes

Answer:

B.2 1/41

Explanation:

In a perfect square trinomial of the form ax+bx+c where a, b and c are constants, the value of (b/2)²=ac

In the provided equation the value of a=1, b=-3 c=?

Therefore, (-3/2)²=c since a-the coefficient of x²=1 and 1×c=c

c=2.25= 2 1/4

Thus the trinomial x² - 3x + 2 1/4 is a perfect square.

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