What is the value of k if the equation x² - kx + 16 = 0 has roots 4 and 4? (2021
Practice Questions
Q1
What is the value of k if the equation x² - kx + 16 = 0 has roots 4 and 4? (2021)
8
16
4
12
Questions & Step-by-Step Solutions
What is the value of k if the equation x² - kx + 16 = 0 has roots 4 and 4? (2021)
Step 1: Identify the given equation, which is x² - kx + 16 = 0.
Step 2: Note that the roots of the equation are given as 4 and 4. This means both roots are the same (equal roots).
Step 3: Use the property of roots: If the roots of a quadratic equation ax² + bx + c = 0 are r1 and r2, then k (the coefficient of x) can be found using the formula k = r1 + r2.
Step 4: Since both roots are 4, we can substitute r1 and r2 into the formula: k = 4 + 4.
