SOLUTION: list ALL roots (rational, irrational, and/or complex) of the given polynomial equation by using the methods discussed in this lesson. show work
4x^4 - 37x^2 + 9 = 0
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Question 1206676: list ALL roots (rational, irrational, and/or complex) of the given polynomial equation by using the methods discussed in this lesson. show work
4x^4 - 37x^2 + 9 = 0
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
.... factor
roots:
if =>
if =>
if =>
if =>
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The polynomial will factor in the form
where ac=4 and bd=9.
Trying different combinations, we easily find
The roots are
ANSWER: -1/2, 1/2, -3, 3
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