Ask Question
15 March, 07:03

Let f (x) = x^2+10x+29 .

What is the minimum value of the function?

Enter your answer in the box.

+4
Answers (2)
  1. 15 March, 07:06
    0
    The minimum value of the function is 4
  2. 15 March, 07:06
    0
    4

    Step-by-step explanation:

    given

    f (x) = x² + 10x + 29

    Since the coefficient of the x² term > 0, f (x) will have a minimum value

    Use the method of completing the square

    add / subtract (half the coefficient of the x - term) ² to x² + 10x

    f (x) = x² + 2 ( + 5) x + (5) ² - (5) ² + 29

    = (x + 5) ² - 25 + 29

    = (x + 5) ² + 4

    When x = - 5, f (x) has a minimum value at + 4
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Let f (x) = x^2+10x+29 . What is the minimum value of the function? Enter your answer in the box. ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers