Question
Find the value of c that makes the expression a perfect square trinomial. Then write the expression as the square of a binomial. I didn't really understand what that meant.
x^2-23x+c
x^2-(2/7)x+c
x^2-23x+c
x^2-(2/7)x+c
Answers
take half the middle term coefficient, square it
x^2 - 23x + 526/4
= (x- 23/2)^2
looks like you learning the process of "completing the square"
here is an easier one ...
x^2 + 10x + c
or
x^2 + 10x + <b>25</b> ,,,,,(half of 10 is 5, 5^2 = 25)
= (x+5)^2
expand (x+5)^2 to see why this happens
Now try your own second question and let me know what you got for c .
x^2 - 23x + 526/4
= (x- 23/2)^2
looks like you learning the process of "completing the square"
here is an easier one ...
x^2 + 10x + c
or
x^2 + 10x + <b>25</b> ,,,,,(half of 10 is 5, 5^2 = 25)
= (x+5)^2
expand (x+5)^2 to see why this happens
Now try your own second question and let me know what you got for c .
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