Question

Solve the equation x^(3) - 12^(2) +39x -28 = 0
if the roots are in arithmetic progression.

Answer 1

let the roots be \(a-b\) , \(a\) and \(a+b\) since they are in AP

Answer 2

now use the formula for sum and product of roots

Answer 3

ahhh i think i have the right answer... is it 1, 4, and 7

Answer 4

let me solve and check

Answer 5

exactly :)

Answer 6

thank you !