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
4.7
(328 Votes)
Greta
Master ยท Tutor for 5 years
Answer
###
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:
.