We know that, for a quadratic equation ax² + bx + c,

Sum of its roots = -b/a and product of roots = c/a

For 2x² + 3x – 9 = 0:

x₁ + x₂ = -3/2 and x₁x₂ = -9/2

For the equation whose roots are 1/x₁ and 1/x₂,

Sum of roots $(= \frac{1}{{{x_1}}} + \frac{1}{{{x_2}}} = \frac{{{x_1} + {x_2}}}{{{x_1}{x_2}}} = \frac{{ - 3}}{{ - 9}} = \frac{1}{3})$

Product of roots $(= \frac{1}{{{x_1}{x_2}}} = \; - \frac{2}{9})$