What is the value of k if the roots of the equation x^2 - kx + 8 = 0 are 2 and 4

₹0.0

Question: What is the value of k if the roots of the equation x^2 - kx + 8 = 0 are 2 and 4? (2023)

Options:

Correct Answer: 6

Exam Year: 2023

Solution:

The sum of the roots is 2 + 4 = 6, so k = 6.

What is the value of k if the roots of the equation x^2 - kx + 8 = 0 are 2 and 4? (2023)

What is the value of k if the roots of the equation x^2 - kx + 8 = 0 are 2 and 4? (2023)

Step 1: Identify the equation given, which is x^2 - kx + 8 = 0.
Step 2: Recognize that the roots of the equation are given as 2 and 4.
Step 3: Calculate the sum of the roots by adding them together: 2 + 4.
Step 4: The sum of the roots is 6.
Step 5: In a quadratic equation of the form x^2 - kx + c = 0, the sum of the roots is equal to k.
Step 6: Since we found the sum of the roots to be 6, we can conclude that k = 6.

No concepts available.