How many such pair(s) of letters are in the word

If a and b are the roots of x² + x – 2 = 0, then the quadratic equation in x whose roots are 1/a + 1/b and ab is

Solve the quadratic equations and determine the relation between x and y:

Equation 1: x² - 45x + 450 = 0

I. 14p² + 9p - 8 = 0

II. 4q² - 19q + 12 = 0

I. 35x² + 83x + 36 = 0

II. 42y² + 53y + 15 = 0

I. x² - (16)² = 0

II. 2y - 14 = 0

I. 5q = 7p + 21

II. 11q + 4p + 109 = 0

I. 2x² - 9x + 10 = 0

II. 3y² + 11y + 6 = 0

I. 2p² - 3p – 2 = 0 II. 2q² - 11q + 15 = 0

Solve the quadratic equation:

5x² − 13x + 6 = 0

I. 2y² - 35y + 132 = 0

II. 2x² - 31x + 110 = 0