Question

Complete the equation to represent finding x, the greater integer. x(x – ) = 143 What is the greater integer?

Answer 1

2

and

13

Explanation:

Got it right on edge.

Answer 2

`x * (x - 2) = 143`

Where
`x = 13`

Explanation:

Given

`x (x - \_) = 143`

Required

Complete the blank

The complete question implies that the product include 2 consecutive odd numbers.

Two numbers whose products equal 143 are: 11 and 13

i.e.
`11 * 13 = 143`

So, we have:

`x * (x - \_) = 13 * 11`

By comparison, we have:

`x = 13`

`x - \_ = 11`

Collect like terms

`\_ = x - 11`

Substitute 13 for x

`\_ = 13 - 11`

`\_ = 2`

So, the complete equation is:

`x * (x - 2) = 143`

Where
`x = 13`