SOLUTION: Solve each equation in the complex number system.
1. x^4 = 16
2. x^4 + 13x^2 + 36 = 0
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Question 1207603: Solve each equation in the complex number system.
1. x^4 = 16
2. x^4 + 13x^2 + 36 = 0
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
1.
=>or
2.
solutions:
or
and
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Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Both equations are polynomials of degree 4; each has 4 solutions. For the first problem, the other tutor found two solutions "by inspection", which does not provide a complete solution.
1. x^4=16
For all polynomial equations of degree greater than 1, write the equation with "0" on one side and solve by factoring if possible.
Solutions: 2, -2, 2i, -2i
2. x^4+13x^2+36=0
Solutions: 2i, -2i, 3i, -3i
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