Question

Select ALL the correct answers.

The square of the sum of a number and 6 plus twice the number is equal to 189.

Which equations could be used to represent this relationship?

(3x + 6)2 = 189
(x + 6)2 + 2x = 189
(x + 6)2 = 189 + 2x
x2 + 10x + 36 = 189
x2 + 14x + 36 = 189
x2 + 2x + 6 = 189

Answer 1

(x+6)^{2}+2x=189

and

x^{2}+14x+36=189

Explanation:

Answer 2

`(x+6)^(2)+2x=189`

and

`x^(2)+14x+36=189`

Explanation:

Let

x -----> the number

we know that

The equation that represent the situation is

`(x+6)^(2)+2x=189\\ \\x^(2) +12x+36+2x=189\\ \\x^(2)+14x+36=189`

therefore

The equations that could be used are

`(x+6)^(2)+2x=189` and
`x^(2)+14x+36=189`