Let x be a real number. What is the minimum value of x24x+3?


Answer:

1

Step by Step Explanation:
  1. We are given a quadratic equation x24x+3, where x is a real number and we need to find the minimum value of this equation.
  2. Now, we have,
    x24x+3=x24x+41=x22(2)x+221=(x2)21
  3. Observe that the value of x24x+3 will be minimum when (x2)2=0,i.e. x=2
    The value of x24x+3 at x=2 is 1.
  4. Hence, the minimum value of x24x+3 is 1.

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