객관식
Choose and apply the best method to solve the given quadratic equation.
417
views
3
rank
1. Equations and Inequalities
Choosing a Method to Solve Quadratics
Multiple Choice
Choose and apply the best method to solve the given quadratic equation.
A
B
C
D
검증된 단계별 안내1
First, identify the quadratic equation given: \(4x^2 + 16x + 12 = 0\).
To simplify the equation, divide all terms by 4, the greatest common factor, resulting in \(x^2 + 4x + 3 = 0\).
Next, factor the quadratic equation. Look for two numbers that multiply to 3 (the constant term) and add to 4 (the coefficient of the linear term).
The numbers 1 and 3 satisfy these conditions, so the equation can be factored as \((x + 1)(x + 3) = 0\).
Apply the zero product property: set each factor equal to zero, \(x + 1 = 0\) and \(x + 3 = 0\), and solve for \(x\) to find the solutions.
Related Videos
Related Practice
