Question

when we talk about \strange solutions\ when solving equations, what does that mean? use your microphone to describe strange solutions. give an example of a \strange solution\. (4 points) please click the microphone button above to record your answer in your own words!

Explanation:

Strange solutions often refer to extraneous solutions in math. These are values that seem to be solutions when we perform algebraic manipulations but don't actually satisfy the original equation due to domain - related issues like square - rooting a negative number or having a zero in the denominator in the original context. For example, when solving the equation $\sqrt{x}=- 1$. Squaring both sides gives $x = 1$. But substituting $x = 1$ back into the original equation $\sqrt{1}=1
eq - 1$, so $x = 1$ is a strange (extraneous) solution.

Answer:

Strange solutions are often extraneous solutions that seem valid during algebraic steps but don't satisfy the original equation. Example: For $\sqrt{x}=-1$, $x = 1$ is a strange solution as $\sqrt{1}
eq - 1$.