Question

 The product of two consecutive odd integers is 195.

Answer 1

Two consecutive odd numbers whose product is 195 is either 13 & 15 or -15 & -13.

Explanation:

Two consecutive odd integers can be defined as: x and y.

A better way to define y is to say it = x+2, which means you have only one unknown.

We're told x*y = 195, so we can substitute y=x+2.

.

x(x+2) = 195

x^2 + 2x = 195

x^2 + 2x - 195 = 0

Factoring...

(x + 15)(x - 13) = 0

.

So, x can = -15 or 13.

.

Since the question does not say "positive consecutive odd numbers", we need to check both to ensure they're both solutions.

.

x = -15

y = x+2 = -13

(-13)*(-15) = 195

.

x = 13

y = x+2 = 15

13*15 = 195

Answer 2

13 and 15

OR

-15 and -13

Explanation:

I suppose you want to find the value of the integers.

Let the smaller integer be x, and the larger be x + 2 (since they're both odd, the larger one is 2 more than the smaller)

(x)(x+2) = 195

x^2 + 2x = 195

x^2 + 2x -195 = 0

Using the quadratic formula,

x = 13 or -15

Since it did not mention whether the integers are positive or negative or both, x can be 13 or -15.

If x is 13, the 2 integers will be 13 and 15.

If x is -15, the 2 integers will be -15 and -13.