Question

The product of two consecutive odd integers is 143. If x is the smallest of the integers, write an equation in terms of x that describes the situation, and then find all such pairs of integers.

The equation that describes the situation is _________________


The positive set of integers is _______________________


The negative set of integers is _______________________

Answer 1

Explanation:

x(x+2) = 143

:::::

x² + 2x - 143 = 0

x = [-2 ±√(2²-4(1)(-143))]/[2(1)] = 11, -13

:::::

11 and 13

:::::

-13, -11