Question 13 Rewrite x^2-7x+13 in the form (x-h)^2+k by completing the square. (x+(7)/(2))^2+(3)/(4) (x-(7)/(2))^2-(3)/(4) (x-(7)/(2))^2+(3)/(4) (x+(7)/(2))^2-(3)/(4)

Question

Answer 1

## Step 1: Isolate the

terms### Group the terms with

together:

## Step 2: Complete the square### Take half of the coefficient of the

term (

), square it (

), and add and subtract it inside the parenthesis:

## Step 3: Simplify the perfect square### Factor the perfect square trinomial:

## Step 4: Combine the constants### Combine the constant terms:

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