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If b = a + 4, then for which of the following values of x is the expression (x−a)2 + (x−b)2 the smallest?
- a)a − 1
- b)a
- c)a + 2
- d)a + 3
- e)a + 5
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If b = a + 4, then for which of the following values of x is the expre...
Given that b is equal to a plus 4, we are asked to determine which of the provided values of x will result in the smallest value for the expression (x−a)2 + (x−b)2.
By simplifying the expression, we can rewrite it as 2(x - (a+b)/2)2 - (a+b)2/2 + a2 + b2.
To find the smallest value for the expression, x should be equal to (a+b)/2, which can be calculated as (2a + 4)/2 or simply a + 2.
Most Upvoted Answer
If b = a + 4, then for which of the following values of x is the expre...
The expression (x + b) equal to 0 can be rewritten as (x + a + 4) = 0. To solve for x, we need to isolate x on one side of the equation.
Subtracting a and 4 from both sides, we get x = -a - 4.
Therefore, for x to make the expression (x + b) equal to 0, x must be equal to -a - 4.
Subtracting a and 4 from both sides, we get x = -a - 4.
Therefore, for x to make the expression (x + b) equal to 0, x must be equal to -a - 4.
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If b = a + 4, then for which of the following values of x is the expre...
Given that b is equal to a plus 4, we are asked to determine which of the provided values of x will result in the smallest value for the expression (x−a)2 + (x−b)2.
By simplifying the expression, we can rewrite it as 2(x - (a+b)/2)2 - (a+b)2/2 + a2 + b2.
To find the smallest value for the expression, x should be equal to (a+b)/2, which can be calculated as (2a + 4)/2 or simply a + 2.
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