Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Answer:
blank = -11
Step-by-step explanation:
The given function is :
[tex]f(x) = (x^2 -6x+x)+20[/tex]
We need to find the number x such that it forms the complete square.
If x = -11, then it will becomes,
[tex]f(x) = (x^2 -6x+(-11))+20\\\\f(x)=x^2-6x+9[/tex]
We can write it as follows :
[tex]f(x)=x^2-2(1)(3x)+(3)^2[/tex] ..(1)
We know that,
[tex](a-b)^2=a^2-2ab+b^2[/tex] ...(2)
Comparing (1) and (2).
[tex]f(x)=(x-3)^2[/tex]
So, if we put the blank equals -11, then it will become the perfect square.
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
