Question 16
Polynomialsα and β are the roots of the equation 2x2 − 3x + 4 = 0. Find (α/β + β/α).
- A.−9/8
- B.−7/8
- C.7/8
- D.9/8
Show the answer and explanation
Answer: B (−7/8)
Explanation
αβ = 2. α/β + β/α = ((α + β)² − 2αβ)/αβ = (9/4 − 4)/2 = −7/8.
α and β are the roots of the equation 2x2 − 3x + 4 = 0. Find (α/β + β/α).
Answer: B (−7/8)
αβ = 2. α/β + β/α = ((α + β)² − 2αβ)/αβ = (9/4 − 4)/2 = −7/8.