1) Find two consecutive even integers whose product is 224.
First even integer: x
Next even integer: x + 2
Equation:
(x) (x+2) = 224
Transform to quadratic equation in form ax² + bx + c = 0
x² + 2x -224= 0
2) A's father is three years more than twice as old her. The product of their ages is 560. How old is A?
Let A's age be x
Let A's father's age be 2x + 3
Product of their ages = 560
Equation:
(x) (2x + 3) = 560
Transform to quadratic equation, ax² + bx + c = 0
2x² + 3x - 560 = 0
