# The product of two consecutive odd numbers is 399, what are the numbers?

##### 1 Answer

solution set

solution set

#### Explanation:

Let

#color(red)x# represent the first number.

Let#color(blue)(x+2)# represent the second number.

#color(red)x(color(blue)(x+2))=399#

#x^2+2x=399#

#x^2+2x-399=0#

#(x-19)(x+21)=0#

#x-19=0color(white)(XXXXXXXX)x+21=0#

#x=19color(white)(XXXXXXXXXX)x=-21#

#color(blue)(x+2)color(white)(XXXXXXXXXXx)color(blue)(x+2)#

#=19+2color(white)(XXXXXXXX)=-21+2#

#=21color(white)(XXXXXXXXXX)=-19#