The product of two consecutive odd integers is 195.

13 and 15

OR

-15 and -13

Step-by-step 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.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4