2022 · Q25
If x + (1)/(x)= (5)/(2) then what is the value of the following?(5x)/(7x² - 3x + 7)
Elementary MathematicsAlgebra
- A3/7
- B5/12
- C3/14
- D10/29
Explanation
Divide numerator and denominator by x: 5x/(7x²-3x+7) = 5/(7(x+1/x)-3) = 5/(35/2-3) = 5/(29/2) = 10/29. Hence the keyed option is D.