Question

If α and β are zeroes of polynomial 2x²-3x+5 , find value of α/β + β/α

Answer 1

Step-by-step explanation:

I hope my answer will be helpful for you

Answer 2

Step-by-step explanation:

${2x}^{2} - 3x + 5 = 0 \\ then \\ a + b = 3 \\ ab = 5 \\ so \\ \frac{a}{b} + \frac{b}{a} = \frac{ {a {}^{2} + b}^{2} }{ab} \\ {(a + b)}^{2} = 9 \\ {a}^{2} + {b}^{2} + 2ab = 9 \\ {a}^{2} + {b}^{2} + 2 \times 5 = 9 \\ {a}^{2} + {b}^{2} = - 1 \\ so \: put \: value \: of {a}^{2} + {b}^{2} = - 1 \\ \frac{ {a} ^{2} + b^{2} }{ab} = \frac{ - 1}{5}$

I think that is correct answer