If the roots of the quadratic equation ax^2 + bx + c = 0 are p and q, which of t

If the roots of the quadratic equation ax^2 + bx + c = 0 are p and q, which of the following is correct?

If the roots of the quadratic equation ax^2 + bx + c = 0 are p and q, which of the following is correct?

Step 1: Understand that a quadratic equation is in the form ax^2 + bx + c = 0.
Step 2: Identify the roots of the equation, which are the values of x that make the equation true. We call these roots p and q.
Step 3: Learn about Vieta's formulas, which relate the coefficients of the quadratic equation to the roots.
Step 4: According to Vieta's formulas, the sum of the roots (p + q) is equal to -b/a.
Step 5: Also, according to Vieta's formulas, the product of the roots (pq) is equal to c/a.
Step 6: Therefore, if you know the coefficients a, b, and c, you can find the sum and product of the roots using these formulas.

Vieta's Formulas – These formulas relate the coefficients of a polynomial to sums and products of its roots.