Question

X is an integer. Prove that (3x - 1)² - 2x(4x + 2) + 24 is a square number.​

Answer 1

Explanation:

=9x^2 -6x +1 -8x^2 -4x +24

=x^2 -10x +25

=(x-5)^2

when x is an integer,

(x-5)^2 is a square number because you can put any integer as X.