For which value of m does the equation x² - mx + 9 = 0 have roots 3 and 3? (2023
Practice Questions
Q1
For which value of m does the equation x² - mx + 9 = 0 have roots 3 and 3? (2023)
6
9
3
0
Questions & Step-by-Step Solutions
For which value of m does the equation x² - mx + 9 = 0 have roots 3 and 3? (2023)
Step 1: Identify the equation given, which is x² - mx + 9 = 0.
Step 2: Recognize that the roots of the equation are given as 3 and 3.
Step 3: Calculate the sum of the roots. Since both roots are 3, the sum is 3 + 3 = 6.
Step 4: Use the relationship between the sum of the roots and the coefficient m. The sum of the roots is equal to m.
Step 5: Therefore, since the sum of the roots is 6, we conclude that m = 6.
Quadratic Equations – Understanding the relationship between the coefficients of a quadratic equation and its roots, specifically using Vieta's formulas.
Roots of a Polynomial – Identifying and calculating the roots of a polynomial equation, particularly when they are repeated.
