Two positive, consecutive, odd integers have a product of 143. Complete the equation to represent finding x, the greater integer

Question

sveticcg [70]

3 years ago

14

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? PLEASE HURRY ITS TIMED!!!!!!

Mathematics

2 answers:

Elza [17] · Answer 1 · 2021-11-27T01:04:17+03:00

Elza [17]3 years ago

4 0

(x)(x+2)=143
the greater is x+2
or if it x(x-2)=143 then x is the greater one

Zigmanuir [339] · Answer 2 · 2021-11-26T23:50:07+03:00

Answer: 11, 13

Explanation:

The problem is asking us to find two consecutive integers that have a product of 143. If we call x the greatest of the two numbers, the other number can be written as (x-2). Their product must be equal to 143, so we have

$x(x-2)=143$

Let's solve the equation:

$x^2 -2x -143 =0$

this is a second-oder equation that has two real solutions: x=13 and x=-11. We are not interested in the negative solution, so our solution is x=13. Therefore, the two numbers are

x=13

x=13-2=11