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pka Elite Member Joined Jan 29, 2005 Messages 11,995 Apr 26, 2006 #2 Button, you slipped a bit on this one. x4=−32\displaystyle x^4 = \frac{{ - 3}}{2}x4=2−3 has no real roots. A fourth power cannot be negative! But x4=4\displaystyle x^4 = 4x4=4 has two real roots: ±44=±2\displaystyle \pm \sqrt[4]{4} = \pm \sqrt 2±44=±2.
Button, you slipped a bit on this one. x4=−32\displaystyle x^4 = \frac{{ - 3}}{2}x4=2−3 has no real roots. A fourth power cannot be negative! But x4=4\displaystyle x^4 = 4x4=4 has two real roots: ±44=±2\displaystyle \pm \sqrt[4]{4} = \pm \sqrt 2±44=±2.
