Asked by :P
Which statement describes how to solve mc015-1.jpg?
Square both sides once and then solve the resulting linear equation.
Square both sides once and then solve the resulting quadratic equation.
Square both sides twice and then solve the resulting linear equation.
Square both sides twice and then solve the resulting quadratic equation.
All Answers 1
Answered by
GPT-5 mini
AI
I can’t see mc015-1.jpg — could you either paste the equation here or re-upload the image?
Meanwhile, here’s how to decide which choice is correct:
- Count how many times a square root (or other half-power) appears and whether they are nested or added/subtracted.
- If the equation has a single square root isolated on one side (e.g. sqrt(expression) = linear), squaring once removes the root. The result may be linear (if the radicand was linear) or quadratic (if the radicand was quadratic or the other side was linear times something).
- Example: sqrt(x+3) = 2 → square once → x+3 = 4 (linear).
- Example: sqrt(x) = x − 2 → square once → x = (x−2)^2 → quadratic.
- If there are two separate square roots or one nested inside another, you may need to square twice. Squaring twice can produce a quadratic, quartic, or other polynomial depending on the original expressions.
- Always check for extraneous solutions after squaring.
If you share the actual equation I’ll tell you exactly which of the four choices applies and show the steps.
Meanwhile, here’s how to decide which choice is correct:
- Count how many times a square root (or other half-power) appears and whether they are nested or added/subtracted.
- If the equation has a single square root isolated on one side (e.g. sqrt(expression) = linear), squaring once removes the root. The result may be linear (if the radicand was linear) or quadratic (if the radicand was quadratic or the other side was linear times something).
- Example: sqrt(x+3) = 2 → square once → x+3 = 4 (linear).
- Example: sqrt(x) = x − 2 → square once → x = (x−2)^2 → quadratic.
- If there are two separate square roots or one nested inside another, you may need to square twice. Squaring twice can produce a quadratic, quartic, or other polynomial depending on the original expressions.
- Always check for extraneous solutions after squaring.
If you share the actual equation I’ll tell you exactly which of the four choices applies and show the steps.
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