Question

Find the equation whose roots are α/β and β/α , where α and β are the roots of the equation x²+2x+3=0

Answer 1

Answer:

3x^2-2x+1

Step-by-step explanation:

1- α + β =  -2

  βα = 3

2- other roots are given is ;-

  α/β   , α/ β

now sum of roots and product of roots are:-

β^2 +α^%2/αβ = 3x^2+2x+1