Question

Find the roots of the polynomial 9x^2-4=0

Answer 1

Answer:

Roots of the polynomial  9x^2 - 4 = 0   are  - 2 /3    and    2 /3

Step-by-step explanation:

Roots of the polynomial  9x^2 - 4 = 0

( 3x ) ^2 - ( 2 ) ^2 = 0

( 3x + 2 )  ( 3x - 2 ) = 0

( 3x + 2 )  = 0              or        ( 3x - 2 ) = 0

3x = - 2                        or      3x = 2

x = - 2 /3                      or     x = 2 /3

∴   Roots of the polynomial  9x^2 - 4 = 0   are  - 2 /3    and    2 /3