What are the solutions of the equation x4 + 3x2 + 2 = 0? use u substitution to solve.


Asked by maham237 @ in Mathematics viewed by 344 People

Answered by maham237 @



We can use t=x^2 to solve this
Once we do that we will have simple square equation which we know how to solve.

t^2 + 3t + 2 = 0

t1 = -1
t2 = -2

x1 = √-1 = i
x2 = -i

x3 = √-2 = i√2
x4 = -i√2

Make sure you know that i^2 = -1 and (-i)^2 = -1 which gives us solutions we got...

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