ЯсноПонятно24

First, let's simplify the expression:

(6x - 11 - x^2)(x^4 - 18x^2 + 84) = 6x(x^4 - 18x^2 + 84) - 11(x^4 - 18x^2 + 84) - x^2(x^4 - 18x^2 + 84) = 6x^5 - 108x^3 + 504x - 11x^4 + 198x^2 - 924 - x^6 + 18x^4 - 84x^2 = -x^6 + 7x^5 + 7x^4 - 186x^3 + 114x^2 + 504x - 924

Now, we need to find the values of x for which this expression is greater than -6. To do this, we can set up the inequality:

-x^6 + 7x^5 + 7x^4 - 186x^3 + 114x^2 + 504x - 924 > -6

Solving this inequality may be difficult without a specific range for x. If you have a specific range in mind, please provide it so we can help you further.