Algebrahard · Past Paper
If α and β are the zeros of the polynomial 2x^2 - 5x + 7, find the value of 1/α + 1/β.
A5/7
B-5/7
C7/5
D2/7
✓ Correct Answer: A — 5/7
1/α + 1/β = (α+β)/(αβ). Sum α+β = 5/2, Product αβ = 7/2. Ratio = (5/2)/(7/2) = 5/7.
Share this question
More from Algebra
- If x^2 - 5x + 6 = 0 and x^2 - mx + 3 = 0 have a common root 3, find m.
- Solve for n: n - 7 = -2
- The sum of digits of a two-digit number is 12. The number obtained by interchanging the digits exceeds the given number by 18. Find the number.
- Solve: √(x+5) + √ x = 5.
- For what value of 'p' does the system of equations px + 2y = 5 and 3x + y = 1 have no solution?