QUESTION 1 - PART A
If \(x^2 - 7x + c = (x + a)^2 \) for some constants is a and c, then find a.
QUESTION 1 - PART B
If \(x^2 - 7x + c = (x + a)^2 \) for some constants is a and c, then find c.
Hi Guest!
Question 1 - Part A
First, let's start by expanding the (x + a)^2 part of the question.
(x + a)^2 = x^2 + 2ax + a^2
We can then replace it.
x^2 - 7x + c = x^2 + 2ax + a^2
We can quickly see that a = -3.5 since 2a = 7.
Question 1 - Part B
We can also see that c = a^2.
c = (-3.5)^2
c = 12.25
I hope this helped. :)))))
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