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What number should be added to both sides of the equation to complete the square? X^2-6xx=5

User Gautam
by
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2 Answers

3 votes

Answer:

9

Explanation:


x^2-6x = 5\\

We know the binomial formula:
(a-b)^2 = a^2 -2ab + b^2

Let's consider 6x = 2ab, we know a is our first term - x;

6x = 2axb

6 = 2b

b = 3

So to make a perfect square, we need to add
b^2 to both sides


x^2 - 6x + 3^2 = 5 + 3^2\\x^2 - 6x + 9 = 5 + 9\\(x-3)^2 = 14

User Jingles
by
7.6k points
3 votes

Answer:

9

Explanation:

To complete the square, divide the coefficient of the b term 6x in two. This becomes -6/2=-3. Now square the number -3 and it becomes 9. To complete the square add 9 to both sides.

User Chocospaz
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