alliegreen
Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

x^4 + 4x^3 + 4x^2 = -16x

Sagot :

Panoyin
                      x⁴ + 4x³ + 4x² = -16x
            x⁴ + 4x³ + 4x² + 16x = -16x + 16x
            x⁴ + 4x³ + 4x² + 16x = 0
x(x³) + x(4x²) + x(4x) + x(16) = 0
           x(x³ + 4x² + 4x + 16) = 0
  x(x²(x) + x²(4) + 4(x) + 4(4)) = 0
          x(x²(x + 4) + 4(x + 4)) = 0
                    x(x² + 4)(x + 4) = 0
x = 0  U  x² + 4 = 0  U  x + 4 = 0
                   - 4  - 4          - 4  - 4
                     x² = -4          x = -4
                      x = +2i
The solution set is equal to {-4, -2i, 0, 2i}.
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.