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

Practice Questions

Q1
If the quadratic equation ax^2 + bx + c = 0 has roots p and q, what is the value of p + q? (2020)
  1. -b/a
  2. b/a
  3. c/a
  4. -c/a

Questions & Step-by-Step Solutions

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.
No concepts available.
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