Question

Two consecutive positive integers have a product of 6. what are the integers

Answer 1

Answer:

2, 3

Step-by-step explanation:

Consecutive means in a row, so x and x + 1

x (x + 1) = 6

Distribute

x² + x = 6

Subtract 6 from each side

x² + x - 6 =0

Factor

(x+3) (x-2) =0

Using the zero product property

x = −3, x = 2

We only want positive integers

x = 2

x + 1 = 3

Answer 2

❤❤ Hey ❤❤

Your Solution ⤵⤵⤵

$= > \: x \: \times (x + 1) = 6 \\ = > {x}^{2} + x - 6 = 0 \\ = > {x}^{2} + 3x - 2x - 6 = 0 \\ = > x(x + 3) - 2(x + 3) \\ = > (x + 3)(x - 2) = 0 \\ = > x = - 3 \: or \: \\ = > x = 2 \\ \\ \\ \\ the \: 2 \: no. \: is \: (2 \: and \: 3)$