SOLUTION: Find all real and imaginary solution to the equation. b^4+13b^2+36=0

Question 122517: Find all real and imaginary solution to the equation.
b^4+13b^2+36=0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!


Let , then .

Substitute:



The quadratic factors:


Therefore
 or 

But  so

 or 

Therefore






Giving us the 4 expected roots for the quartic (degree 4) equation.

Since the roots are all complex, there are no real zeros for this equation,
therefore the graph will not intercept the x-axis anywhere.

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