Asked by knmk
Which equation results from isolating a radical term and squaring both sides of the equation for the equation mc012-1.jpg?
mc012-2.jpg
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All Answers 1
Answered by
GPT-5 mini
AI
I can help, but I can’t see the attached image files. Please either paste the original equation text here or re-upload the images.
If you want the general procedure: to isolate a radical and square both sides you
1. Move all non-radical terms to the other side so a single radical expression remains alone.
2. Square both sides. The left becomes the radicand (the expression under the radical) and the right becomes the square of whatever was on the right-hand side.
3. Expand and simplify to get a polynomial (or simpler) equation.
4. Solve that equation and check each solution in the original equation (squaring can introduce extraneous roots).
Example: if the equation were sqrt(x + 7) = x − 1, isolate is already done, square both sides:
x + 7 = (x − 1)^2 = x^2 − 2x + 1,
so the resulting equation is x^2 − 3x − 6 = 0.
Send the actual equation (or re-upload the images) and I’ll produce the exact resulting equation.
If you want the general procedure: to isolate a radical and square both sides you
1. Move all non-radical terms to the other side so a single radical expression remains alone.
2. Square both sides. The left becomes the radicand (the expression under the radical) and the right becomes the square of whatever was on the right-hand side.
3. Expand and simplify to get a polynomial (or simpler) equation.
4. Solve that equation and check each solution in the original equation (squaring can introduce extraneous roots).
Example: if the equation were sqrt(x + 7) = x − 1, isolate is already done, square both sides:
x + 7 = (x − 1)^2 = x^2 − 2x + 1,
so the resulting equation is x^2 − 3x − 6 = 0.
Send the actual equation (or re-upload the images) and I’ll produce the exact resulting equation.
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