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Svet_ta [14]
3 years ago
17

How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?

Mathematics
2 answers:
Valentin [98]3 years ago
10 0
<h2>8 unit tiles should be added</h2>

Step-by-step explanation:

       Function given is f(x)=x^{2}-6x+1. We wish to add more unit tiles to the function so that it becomes a complete square.

       Since the given function is of order 2, the side of the square will be order 1. Let us assume a general order 1 expression ax+b to be the side of the square.

       As the function forms the square after adding some p unit tiles, f(x)+p=(\text{Side of square})^{2}

x^{2}-6x+1+p=(ax+b)^{2}=a^{2}x^{2} +2abx+b^{2}

From comparision, a^{2}=1; 2ab=-6; b^{2}=1+p\\a=1; b=-3\\(-3)^{2}=p+1\\p=8

∴ 8 more unit tiles are required to complete the square.

Oxana [17]3 years ago
7 0

Answer:

8 just took the test on edg

Step-by-step explanation:

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