Question

If a and B are the zeroes of the quadratic polynomial 3x^2 - 2x - 7, then find the value of a/b+ b/a




a is alpha, b is beta​

Answer 1

Answer:

$- \frac{46}{21}$

Step-by-step explanation:

$a + b = \frac{2}{3} \\ \\ ab = - \frac{7}{3} \\ \\ \frac{a}{b} + \frac{b}{a} = \frac{ {a}^{2} + {b}^{2} }{ab} = \frac{{(a + b)}^{2} - 2ab}{ab} \\ \\ \\ = \frac{ \frac{4}{9} + \frac{14}{3} }{ \frac{ - 7}{3} } \\ \\ \\ = \frac{ \frac{4 + 42}{9} }{ - \frac{7}{3} } \\ \\ \\ \\ = \frac{46}{9} \times - \frac{3}{7} \\ \\ \\ \\ = - \frac{46}{21}$