For which value of p does the equation x² - px + 9 = 0 have roots 3 and 3? (2021
Practice Questions
Q1
For which value of p does the equation x² - px + 9 = 0 have roots 3 and 3? (2021)
6
3
9
0
Questions & Step-by-Step Solutions
For which value of p does the equation x² - px + 9 = 0 have roots 3 and 3? (2021)
Step 1: Identify the roots of the equation. The roots given are 3 and 3.
Step 2: Calculate the sum of the roots. Add the two roots together: 3 + 3 = 6.
Step 3: Recall the relationship between the sum of the roots and the value of p in the equation x² - px + 9 = 0. The sum of the roots is equal to p.
Step 4: Since the sum of the roots is 6, we can conclude that p = 6.
Quadratic Equations – Understanding the relationship between the coefficients and the roots of a quadratic equation, specifically using Vieta's formulas.
Roots of Equations – Identifying and applying the properties of roots, including their sum and product.
