Question

If alpha and beta are the roots of the equation 2x²-6x+1=0, then find the value of 1) alpha/beta + beta/alpha 2) (alpha+1/beta)(beta+1/alpha).​

Answer 1

Answer:

Find the quadratic equation with roots α and β given α − β = 2 and α2 − β2 = 3. We'll set up a system of two equations in two unknowns to find `alpha` and `beta`. Since `(alpha + beta) = 3/2` then `beta = 3/2 - alpha`, giving us `beta = -1/4`.Nov 26, 2019

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Sum and product of the roots of a