Question

 If α ≠ β and α² = 5α - 3, β² = 5β - 3, then the equation having α/β and β/α as its roots, is

(a) 3x² + 19x + 3 = 0

(b) 3x² - 19x + 3 = 0

(c) 3x² - 19x - 3 = 0

(d) x² - 16x + 3 = 0 

Answer 1

Correct option (b) 3x² - 19x + 3 = 0

Explanation:

These two equations shows that α and β are the roots of the equation x² - 5x + 3 = 0.