BlossomFloweridn
Answered

IDNLearn.com provides a comprehensive solution for all your question and answer needs. Ask your questions and receive reliable, detailed answers from our dedicated community of experts.

What value should be added to the expression to create a perfect square?
[tex]x^2 + 16x[/tex]
A. 64
B. 4
C. 16
D. 8

Sagot :

RedRicinidn
Let's take a look at a perfect square trinomial.

[tex](x+7)^2[/tex]

We can distribute this expression to get [tex]x^2+14x+49[/tex].

An important relation to recognize here is that the constant is the square of half of the x value.

Now, if we wanted to add a number to [tex]x^2+16x[/tex] to make a perfect square trinomial, we could have the value of x and then square it.

Half of 16 is 8, and 8 squared is [tex]\boxed{64}[/tex]

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.