Question 22
Quadratic EquationsFind the quadratic equation whose roots are −2q and 5q.
- A.x2 + 3qx − 10q2 = 0
- B.x2 + 3qx + 10q2 = 0
- C.x2 − 3qx + 10q2 = 0
- D.x2 − 3qx − 10q2 = 0
Show the answer and explanation
Answer: D (x2 − 3qx − 10q2 = 0)
Explanation
(x + 2q)(x − 5q) = x2 − 3qx − 10q2 = 0.