Two positive, consecutive, odd integers have a product of 143. Complete the equation to represent finding x, the greater integer. x(x – ) = 143 What is the greater integer?

Question

asked Oct 20, 2021 218k views

2 Answers

Christian P · Answer 1 · 2021-10-21T01:46:07+0000

Answer:

The answer is 13

Explanation:

Two positive and consecutive old numbers are x and x - 2.

=> x(x - 2) = 143

=> x^2 - 2x - 143 = 0

=> x^2 + 11x - 13x - 143 = 0

=> x(x + 11) - 13(x + 11) = 0

=> (x + 11)(x - 13) = 0

=> x = -11 (invalid)

or x = 13 (valid), the remaining number is 13 - 2 = 11

=> The two numbers are 11 and 13, and the greater number is 13.

Hope this helps!

:)