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vlada-n [284]
4 years ago
11

Which value of k will make x^2-1/4x+k a perfect square trinomial

Mathematics
2 answers:
dezoksy [38]4 years ago
8 0
x^2- \dfrac{1}{4} x+k

To make the expression a perfect square, we always add ( \dfrac{b}{2} )^2:

k =  (\dfrac{1}{4} \div 2)^2

k = (\dfrac{1}{4} \times  \dfrac{1}{2} )^2

k = (\dfrac{1}{8} )^2

k = \dfrac{1}{64}
zvonat [6]4 years ago
7 0
1/64

Your square will be (x - 1/8)^2 which evaluates to x^2 - 1/4x + 1/64.
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