Question

If α and β are the zeros of the quadratic polynomial f(x) = 6x² + x - 2, find the value of \(\frac{α}{β}\) + \(\frac{β}{α}\)

Answer 1

Let α and β are the roots of the given equation

Sum of the roots

Product of the roots

Using (a + b)² = a² + b² + 2ab

On substituting values from above, we get