11. If α and β are roots of 2x2−3x+1=0, find α/β+β/α
Step 1: Find the sum and product of the roots for the given quadratic equation.
For a quadratic equation ax2+bx+c=0, the sum of the roots is α+β=−ab and the product of the roots is αβ=ac.
Given the equation 2x2−3x+1=0, we have a=2, b=−3, and c=1.
Sum of roots: