Question

the product of two consecutive even number is288 what are the numbers​

Answer 1

Step-by-step explanation:

let a number be x

other be (x+2) even

so

x(x+2)=288

x^2+2x=288

x^2+2x-288=0

(x^2+18x)(-16x-288) =0 by middle term splitting

x(x+18) -16(x+18)=0

(x+18) (x-16)=0

x= -18,16

numbers are x= -18

x+2= -16

or

numbers are x=16

x+2=18