2022 · Q42
Consider the following equation for the next two (02) items that follow: 6x² - 25x + (6)/(x²) + (25)/(x) + 12 = 0. What is one of the possible values of x² + (1)/(x²)?
Elementary MathematicsAlgebra
- A6
- B62/9
- C8
- D82/9
Explanation
x²+1/x² = t²+2: for t = 3/2 this is 17/4 and for t = 8/3 it is 82/9. Of the given options, 82/9 occurs. The keyed option is D.