Question

A book is opened, and the PRODUCT of the two visible page numbers is found to be 306. The equation which correctly represents this situation is A) x2 = 306 B) 2x2 = 306 C) x2 + x = 306 D) 2x2 + x = 306

Answer 1

The answer is C, x^2 + x = 306

Answer 2

Option C is correct

`x^2+x = 306`

Explanation:

Let the consecutive page number be x and x+1

As per the statement:

A book is opened, and the PRODUCT of the two visible page numbers is found to be 306.

" PRODUCT of the two visible page numbers" translated to x(x+1)

then;

`x(x+1) = 306`

Using distributive property,
`a \cdot (b+c) = a\cdot b+ a\cdot c`

then;

`x^2+x = 306`

Therefore, the equation which correctly represents this situation is
`x^2+x = 306`