Given the equation 2x^2 - 3x + 1 = 0, we have a=2, b=-3, and c=1.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
11. If $\alpha$ and $\beta$ are roots of $2x^2 - 3x + 1 = 0$, find $\alpha/\beta + \beta/\alpha$
Step 1: Find the sum and product of the roots for the given quadratic equation.
For a quadratic equation $ax^2 + bx + c = 0$, the sum of the roots is $\alpha + \beta = -\frac{b}{a}$ and the product of the roots is $\alpha \beta = \frac{c}{a}$.
Given the equation $2x^2 - 3x + 1 = 0$, we have $a=2$, $b=-3$, and $c=1$.
Sum of roots:
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