Question

(х+9)(х^2-9х+81)=-7-4x+x^3​

Answer 1

(х+9)(х^2-9х+81)= -7-4x+x^3​

х³+9х²-9х²-81х+81х+729 = -7 - 4х + х³

4х + 729 = -7

х = (-7-729)/4 = -736/4 = -184

Answer 2

To solve the given equation, we first expand the left-hand side and then combine like terms with the right-hand side to bring it to the form of a cubic equation (ax^3 + bx^2 + cx + d = 0). Afterward, we can attempt to find its roots. Here's the step-by-step solution:

Given equation: (x + 9)(x^2 - 9x + 81) = -7 - 4x + x^3

Step 1: Expand the left-hand side (x + 9)(x^2 - 9x + 81) = x(x^2 - 9x + 81) + 9(x^2 - 9x + 81) = x^3 - 9x^2 + 81x + 9x^2 - 81x + 729 = x^3 + 729

Step 2: Rearrange the equation and combine like terms x^3 + 729 = -7 - 4x + x^3

Step 3: Eliminate x^3 from both sides of the equation 729 = -7 - 4x

Step 4: Isolate x on one side of the equation 4x = -7 - 729 4x = -736

Step 5: Solve for x x = -736 / 4 x = -184

Therefore, the solution to the equation is x = -184.