Question

What can you conclude about the relationship of the coefficients and the sum and product of the roots of a quadratic equation?

Answer 1

The relationship between the coefficients and the sum and product of the roots of a quadratic equation.

Step-by-step explanation:

The relationship between the coefficients and the sum and product of the roots of a quadratic equation can be summarized as follows:

• The sum of the roots is equal to -b/a, where a is the coefficient of x² and b is the coefficient of x.
• The product of the roots is equal to c/a, where c is the constant term.

For example, consider the quadratic equation 2x² + 5x + 3 = 0. The sum of the roots is -5/2 and the product of the roots is 3/2.