If the quadratic equation ax^2 + bx + c = 0 has roots p and q, what is the value

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Question: If the quadratic equation ax^2 + bx + c = 0 has roots p and q, what is the value of p + q? (2020)

Options:

Correct Answer: -b/a

Exam Year: 2020

Solution:

By Vieta\'s formulas, the sum of the roots p + q = -b/a.

If the quadratic equation ax^2 + bx + c = 0 has roots p and q, what is the value of p + q? (2020)

If the quadratic equation ax^2 + bx + c = 0 has roots p and q, what is the value of p + q? (2020)

Step 1: Understand that a quadratic equation is in the form ax^2 + bx + c = 0.
Step 2: Identify the coefficients a, b, and c in the equation.
Step 3: Recognize that the roots of the equation are represented by p and q.
Step 4: Learn about Vieta's formulas, which relate the coefficients of the polynomial to sums and products of its roots.
Step 5: According to Vieta's formulas, the sum of the roots (p + q) can be calculated using the formula -b/a.
Step 6: Substitute the values of b and a from the equation into the formula to find p + q.

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