If the roots of the equation x^2 + 5x + 6 = 0 are a and b, what is the value of
Practice Questions
Q1
If the roots of the equation x^2 + 5x + 6 = 0 are a and b, what is the value of ab? (2023)
6
5
11
1
Questions & Step-by-Step Solutions
If the roots of the equation x^2 + 5x + 6 = 0 are a and b, what is the value of ab? (2023)
Step 1: Identify the equation given, which is x^2 + 5x + 6 = 0.
Step 2: Recognize that this is a quadratic equation in the form of ax^2 + bx + c.
Step 3: Identify the coefficients: a = 1, b = 5, and c = 6.
Step 4: Recall the formula for the product of the roots (ab) of a quadratic equation, which is given by ab = c/a.
Step 5: Substitute the values of c and a into the formula: ab = 6/1.
Step 6: Calculate the value: ab = 6.
Quadratic Equations – Understanding the properties of quadratic equations, specifically Vieta's formulas, which relate the coefficients of the polynomial to sums and products of its roots.
