What is the solution to the equation x^2 + 5x + 6 = 0?
Practice Questions
Q1
What is the solution to the equation x^2 + 5x + 6 = 0?
x = -2, -3
x = 2, 3
x = -1, -6
x = 1, 6
Questions & Step-by-Step Solutions
What is the solution to the equation x^2 + 5x + 6 = 0?
Step 1: Factor the equation x^2 + 5x + 6 into two binomials. We look for two numbers that multiply to 6 (the constant term) and add to 5 (the coefficient of x). The numbers are 2 and 3. So, we can write the equation as (x + 2)(x + 3) = 0.
Step 2: Set each factor equal to zero. This gives us two equations: x + 2 = 0 and x + 3 = 0.
Step 3: Solve the first equation x + 2 = 0. Subtract 2 from both sides to get x = -2.
Step 4: Solve the second equation x + 3 = 0. Subtract 3 from both sides to get x = -3.
Step 5: The solutions to the equation are x = -2 and x = -3.
