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?

Respuesta :

Equation: x(x – 2) = 143
Greater integer: 13

Answer:

the greater integrer is X=13

Step-by-step explanation:

1. Two consecutive odd integer numbers must be mandatory separated  by two numbers, like 3 and 5. those numbers (3 and 5) are two consecutive odd integers and we can see the difference between them is 2. Another example, 11 and 13 are two consecutive odd integers and the difference between them is also 2.

So, we have:

x(x-2)=143

here, x is representing the first number and (x-2) is represent the second consecutive number.

If we try to isolate x from x(x-2)=143, we will get the possible values of 11 and 13. You can check the multiply of them is 143. so the two numbers are :

X=13  and  X=13 - 2 = 11  where 13 is the greater integrer