Question

The sum of three numbers in an AP is -12 and their product is 36.Find the numbers.

Answer 1

let 3 numbers be a, a+d, a-d

sum of 3 number is -12 that is

a+d+a+a-d= 3a=-12

a= -4

product is 36

a+d×a×a-d=36

4+d× 4× 4-d=36

4^2-b^2= 36/-4

-b^2= 9+16

= -25

= 5

ANSWER IS -4, 5