Visualizing Extraneous Solutions
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What are extraneous solutions, and
What are extraneous solutions, and why do they sometimes pop up, seemingly at random, when solving equations involving radicals? This video explains a way to visualize that algebra and understand exactly what's going on.
Correction: 2:05 This should read sqrt(1) = +/- 1, not sqrt(-1)
Correction: 2:42 A RHS of -x-1 gives no solutions at all, and for two extraneous solutions, we'd need something like (-1/2)x - 1
Correction: 2:05 This should read sqrt(1) = +/- 1, not sqrt(-1)
Correction: 2:42 A RHS of -x-1 gives no solutions at all, and for two extraneous solutions, we'd need something like (-1/2)x - 1
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