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Question 11 Rewrite X^2+10x+8 in the Form (x-h)^2+k by Completing the Square. (x-5)^2+17 (x+5)^2+17 (x-5)^2-17 (x+5)^2-17

Question

Question 11 Rewrite x^2+10x+8 in the form (x-h)^2+k by completing the square. (x-5)^2+17 (x+5)^2+17 (x-5)^2-17 (x+5)^2-17

Solution

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Answer

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Explanation

## Step 1: Completing the Square### To rewrite the quadratic expression in the form , we complete the square. We take half of the coefficient of the term (which is 10), square it , and add and subtract this value within the expression.## Step 2: Rewriting the Expression### We rewrite the expression as follows: . This allows us to group the first three terms as a perfect square: .## Step 3: Simplification### Finally, we simplify the constant terms: .