Question

(х+9)(х-2)-(х-2)²>0​

Answer 1

x^2+9x-2x-18-x^2+4x-4>0

11x-22>0

11x>22

x>2

Answer 2

Alright, let's solve this inequality. First, let's simplify the expression:

$(x+9)(x-2) - (x-2)^2 > 0$

Expand the terms:

$x^2 - 2x + 9x - 18 - (x^2 - 4x + 4) > 0$

Combine like terms:

$x^2 + 7x - 18 - x^2 + 4x - 4 > 0$

Simplify further:

$11x - 22 > 0$

Now, isolate x:

$11x > 22$

$x > 2$

So, the solution to the inequality is $x > 2$.