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Complete the square x^2 + 12x + 9 - 10x + 1

Enter your answer in the form a(x + u)^2 + v, where a, u, and v are replaced by numbers.

 Jun 3, 2022
 #1
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We can simplify the equation to \(x^2 + 2x + 10\)

 

Because the leading coefficient is 1, we know \(a = 1\)

 

Now, notice that \(u\) must be half of the coefficient of x, meaning \(u = 1\).

 

Now, expand what we have, and identify what we need to add.

 

Can you take it from here?

 Jun 3, 2022

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