Quadratic equations · solved example
In each question two equations are given. Solve them and choose the relation between x and y. I. x^2 - 7x + 12 = 0 II. y^2 - 9y + 20 = 0
- x > y
- x < y
- x >= y
- x <= yCorrect
- x = y or the relationship cannot be established
Solution
The first equation factors as (x - 3)(x - 4) = 0, so x is 3 or 4. The second factors as (y - 4)(y - 5) = 0, so y is 4 or 5. Comparing every pair, x is never greater than y and can equal it (4 = 4), so x <= y.