SOLUTION: Find all the real roots of equation x^4 + 2x^2 − 24 = 0.

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Question 361245: Find all the real roots of equation x^4 + 2x^2 − 24 = 0.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

x^4 + 2x^2 − 24 = 0.

Find all the real roots of equation

completing the square

(x^4 + 2x^2 + 1) - 1 − 24 = 0.

(x^2 +1)^2 -25 = 0

(x^2 +1)^2  = 25

x^2 +1 = 5

x^2 = 4

x = 2

x = -2