If the roots of the equation x^2 + 3x + 2 = 0 are a and b, what is the value of

If the roots of the equation x^2 + 3x + 2 = 0 are a and b, what is the value of a + b? (2022)

If the roots of the equation x^2 + 3x + 2 = 0 are a and b, what is the value of a + b? (2022)

Step 1: Identify the equation given, which is x^2 + 3x + 2 = 0.
Step 2: Recognize that this is a quadratic equation in the form of ax^2 + bx + c = 0.
Step 3: Identify the coefficients: a = 1, b = 3, and c = 2.
Step 4: Use the formula for the sum of the roots of a quadratic equation, which is -b/a.
Step 5: Substitute the values of b and a into the formula: -b/a = -3/1.
Step 6: Calculate -3/1, which equals -3.
Step 7: Conclude that the value of a + b (the sum of the roots) is -3.

Quadratic Equations – Understanding the properties of quadratic equations, specifically how to find the sum and product of the roots using Vieta's formulas.
Vieta's Formulas – Application of Vieta's formulas to determine relationships between the coefficients of a polynomial and its roots.