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s2008m [1.1K]
3 years ago
14

What number must you add to complete the square? x2 + 2x = 13

Mathematics
2 answers:
Ann [662]3 years ago
8 0

Answer:

The answer is 1

Step-by-step explanation:

In order to complete the square, you have to know the rule for expanding a square of a binomial.

The rule says:

Let (a+b)^2 a square of a binomial in general

The square of any binomial produces the following three terms:

1.   The <em>square of the first term</em> of the binomial: a^2

2.   <em>Twice the product</em> of the two terms:  2*a*b

3.   <em>The square of the second term</em>: b^2

So, the expand of a square of a binomial is:

(a+b)^2=a^2+2*a*b+b^2

Therefore, we should think which of the three terms mentioned before it is absent.

1. First term is x^2

2. Second term is 2*x

3. Third term must be 1 because it is the unique number which multiplying by x results in 2*x

Finally, adding 1 in both side of the equation:

x^2+2*x+1=13+1\\(x+1)^2=14

yuradex [85]3 years ago
6 0
We do completing the square as follows:

Write the equation in such a way that the constants are on one side. 
<span>x^2 + 2x = 13

We add a number to both sides that will complete the square on the side which contains the variable x.
</span><span>x^2 + 2x + 1 = 13 +1

We factor the side which contains the variable x.
(x+1)^2 = 14

Therefore, we should add 1 in order to complete the square from the given equation.</span>
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Step-by-step explanation:

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