The product of the roots of the quadratic equation 3x^2 - 12x + 9 = 0 is: (2021)
Practice Questions
Q1
The product of the roots of the quadratic equation 3x^2 - 12x + 9 = 0 is: (2021)
1
3
4
9
Questions & Step-by-Step Solutions
The product of the roots of the quadratic equation 3x^2 - 12x + 9 = 0 is: (2021)
Step 1: Identify the quadratic equation given, which is 3x^2 - 12x + 9 = 0.
Step 2: Recognize that in a quadratic equation of the form ax^2 + bx + c = 0, 'a' is the coefficient of x^2, 'b' is the coefficient of x, and 'c' is the constant term.
Step 3: From the equation, identify 'a' as 3, 'b' as -12, and 'c' as 9.
Step 4: Use the formula for the product of the roots of a quadratic equation, which is given by c/a.
Step 5: Substitute the values of 'c' and 'a' into the formula: c/a = 9/3.
Step 6: Calculate 9 divided by 3, which equals 3.
Step 7: Conclude that the product of the roots of the quadratic equation is 3.
