Question

8.
Product of two consecutive counting numbers is 156
a)
If one number is x, what is the other number
b)
Form the equation.​

Answer 1

Step-by-step explanation:

let x and x+1 be the integers

x(x+1)=156

x^2+x=156

x^2+x-156=0

156=2*2*3*13

(2*2*3)*13=12*13 and 12*13=156

factor

(x+13)(x-12)=156

x-12=0

x=12 and x+1=13

12 and 13 are the integers

x+13=0

x=-13

x+1=-12

-12 and -13 is also a solution

using arithmetic...

√156=12.48999

truncate the number to get 12 and then 13 and then -12 and -13