Question

1) In an A.P. second and fifth terms are the roots of the equations.
x2 - 4x - 32 = 0 find these numbers.​

Answer 1

The second and fifth terms = 8, - 4 or, - 4, 8

Step-by-step explanation:

Given,

The second and fifth terms are the roots of the equations.:

$x^2-4x-32=0$

To find, the second and fifth terms = ?

∴ $x^2-4x-32=0$

⇒ $x^2-8x+4x-32=0$

⇒ x(x - 8) + 4(x - 8) = 0

⇒ (x - 8) (x + 4) 0

⇒ x - 8 = 0 or x + 4 = 0

⇒ x = 8 or, x = - 4

∴ The second and fifth terms = 8, - 4 or, - 4, 8