Question 495360: solve the following equation using the complex number system:
x^4 + 13x^2 +36 = 0
the math book i have doesn't show how to do these types of problems: very frustrating.
the answers in the back of the book are (-2i, 2i, -3i, 3i)
Answer by Edwin McCravy(20060)   (Show Source):
You can put this solution on YOUR website!
x⁴+ 13x² + 36 = 0
Factor:
(x² + 4)(x² + 9) = 0
x² + 4 = 0 x² + 9 = 0
x² = -4 x² = -9
__ __
x = ±Ö-4 x = ±Ö-9
x = ±2i x = ±3i
Solutions: {-2i, 2i, -3i, 3i}
Edwin
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