How many solutions are there for x? What are they?

x^4 + 30x = 9x^2 + 25

?2012-04-14T19:45:21Z

Favorite Answer

x^4 + 30x = 9x^2 + 25
x^4 - 9x^2 + 30x - 25 = 0
(x^2 + 3x - 5)(x^2 - 3x + 5) = 0
There are 4 solutions.
Real solutions:
x = [-3 +- sqrt (29)]/2
Complex solutions:
x = [3 +- i sqrt (11)]/2

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