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? hurry its

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

Let's solve the equation:

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

The complete equation is . And the greater integer is .

Let the consider two positive, consecutive, and odd integers are

Given, the product of two integers as

The negative value of will be neglected.

So,

and

Hence, The complete equation is and the greater integer is .

Know more about Quadratic Equations here:

link

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)