Question 47
Quadratic EquationsThe sum of the root of a quadratic equation is 5/2 and the product of its roots is 4. The quadratic equation is
- A.2x2 + 5x + 8 = 0
- B.2x2 − 5x + 8 = 0
- C.2x2 − 8x + 5 = 0
- D.2x2 + 8x − 5 = 0
- E.2x2 − 5x − 8 = 0.
Show the answer and explanation
Answer: B (2x2 − 5x + 8 = 0)
Explanation
x² − (sum)x + (product) = 0 gives x² − 5x/2 + 4 = 0, i.e. 2x² − 5x + 8 = 0.