Sum And Product Of Roots Flashcards
What is the sum of the roots of the quadratic equation ax^2 + bx + c = 0?
-b/a
What is the product of the roots of the quadratic equation ax^2 + bx + c = 0?
c/a
For the quadratic equation ax^2 + bx + c = 0, what is the relationship between the sum and product of the roots?
The sum of the roots is equal to -b/a and the product of the roots is equal to c/a.
True or False: The sum of the roots of a quadratic equation is always equal to the negative coefficient of the linear term divided by the coefficient of the quadratic term.
True
True or False: The product of the roots of a quadratic equation is always equal to the constant term divided by the coefficient of the quadratic term.
True
What is the sum of the roots of the equation x^2 - 5x + 6 = 0?
5
What is the product of the roots of the equation x^2 - 5x + 6 = 0?
6
For the equation x^2 - 5x + 6 = 0, what is the sum and product of the roots?
Sum of roots = 5, Product of roots = 6
What is the sum of the roots of the equation 2x^2 + 3x - 2 = 0?
-3/2
What is the product of the roots of the equation 2x^2 + 3x - 2 = 0?
-1
For the equation 2x^2 + 3x - 2 = 0, what is the sum and product of the roots?
Sum of roots = -3/2, Product of roots = -1
What is the sum of the roots of the equation 3x^2 + 4x + 1 = 0?
-4/3
What is the product of the roots of the equation 3x^2 + 4x + 1 = 0?
1/3
For the equation 3x^2 + 4x + 1 = 0, what is the sum and product of the roots?
Sum of roots = -4/3, Product of roots = 1/3
What is the sum of the roots of the equation 4x^2 - 3x - 1 = 0?
3/2
