Question 18
PolynomialsIf α and β are the roots of x2 + x − 2 = 0, find the value of (1/α2 + 1/β2)
- A.5/4
- B.3/4
- C.1/4
- D.−3/4
Show the answer and explanation
Answer: A (5/4)
Explanation
α + β = −1, αβ = −2. (α² + β²)/(αβ)² = (1 + 4)/4 = 5/4.
If α and β are the roots of x2 + x − 2 = 0, find the value of (1/α2 + 1/β2)
Answer: A (5/4)
α + β = −1, αβ = −2. (α² + β²)/(αβ)² = (1 + 4)/4 = 5/4.