Question

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

Answer 1

8 unit tiles should be added

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.

Answer 2

Answer:

8 just took the test on edg

Step-by-step explanation: