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pka Elite Member Joined Jan 29, 2005 Messages 11,984 Apr 26, 2006 #2 Button, you slipped a bit on this one. \(\displaystyle x^4 = \frac{{ - 3}}{2}\) has no real roots. A fourth power cannot be negative! But \(\displaystyle x^4 = 4\) has two real roots: \(\displaystyle \pm \sqrt[4]{4} = \pm \sqrt 2\).
Button, you slipped a bit on this one. \(\displaystyle x^4 = \frac{{ - 3}}{2}\) has no real roots. A fourth power cannot be negative! But \(\displaystyle x^4 = 4\) has two real roots: \(\displaystyle \pm \sqrt[4]{4} = \pm \sqrt 2\).
