To solve the inequality ((x-4)^2 - x^2 > 0), we first need to expand and simplify:
((x-4)^2 - x^2) (= x^2 - 8x + 16 - x^2) (= -8x + 16)
Now we have the inequality (-8x + 16 > 0).
Solving for x:
(-8x + 16 > 0) (-8x > -16) (x < 2)
Therefore, the solution to the inequality is (x < 2).
To solve the inequality ((x-4)^2 - x^2 > 0), we first need to expand and simplify:
((x-4)^2 - x^2)
(= x^2 - 8x + 16 - x^2)
(= -8x + 16)
Now we have the inequality (-8x + 16 > 0).
Solving for x:
(-8x + 16 > 0)
(-8x > -16)
(x < 2)
Therefore, the solution to the inequality is (x < 2).