First, let's expand the given expression:
(x+2)(x-3)(x+1)(x-4) = (x^2 + 2x - 3x - 6)(x^2 + x - 4)= ((x^2 - x - 6)(x^2 + x - 4))= x^4 + x^2 - 4x - x^3 - x - 6x + 6= x^4 - x^3 + x^2 - 11x + 6
Now, we need to solve the equation:
x^4 - x^3 + x^2 - 11x + 6 + 4 = 0x^4 - x^3 + x^2 - 11x + 10 = 0
Unfortunately, this is a fourth-degree polynomial equation and solving it directly can be quite complex. You may need to use numerical methods or a graphing calculator to approximate the roots.
First, let's expand the given expression:
(x+2)(x-3)(x+1)(x-4) = (x^2 + 2x - 3x - 6)(x^2 + x - 4)
= ((x^2 - x - 6)(x^2 + x - 4))
= x^4 + x^2 - 4x - x^3 - x - 6x + 6
= x^4 - x^3 + x^2 - 11x + 6
Now, we need to solve the equation:
x^4 - x^3 + x^2 - 11x + 6 + 4 = 0
x^4 - x^3 + x^2 - 11x + 10 = 0
Unfortunately, this is a fourth-degree polynomial equation and solving it directly can be quite complex. You may need to use numerical methods or a graphing calculator to approximate the roots.