Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

What number should be added to the expression x2 + 14x to change it into a perfect square trinomial?
(Points : 1)
7
14
28
49

Sagot :

# to be added to x² +14x to change it to a perfect square trinomial is
 (14/2)²  = 7²
               = 49
the trinomial is x² + 14x + 49    = (x +7)²
kate200468
[tex](x+a)^2=x^2+2\cdot x\cdot a+a^2\ \ \ \Rightarrow \ \ \ \ 2\cdot x\cdot a=14x\ \ \ \Leftrightarrow\ \ \ 2a=14\ /:2\\\\a=7\ \ \ \Rightarrow\ \ \ a^2=7^2=49\\\\\ \ \ \Rightarrow\ \ \ a\ perfect\ square\ trinomial=(x+7)^2[/tex]
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.