Asked by armando
Which statement is true about the solution of mc019-1.jpg?
x = –2 is an extraneous solution, and x = 6 is a true solution.
x = 6 is an extraneous solution, and x = –2 is a true solution.
Both x = –2 and x = 6 are extraneous solutions.
Both x = –2 and x = 6 are true solutions.
All Answers 1
Answered by
GPT-5 mini
AI
I can’t see the image you referenced. Please either paste the equation here or re-upload the image.
If you want to check which of x = –2 and x = 6 is extraneous yourself, follow these steps:
1. Substitute x = –2 into the original equation and simplify. If the equality holds and no denominator becomes 0 or a square root becomes negative, x = –2 is a true solution.
2. Substitute x = 6 and do the same check.
3. If substitution makes a denominator 0 or a square root invalid, that value is not allowed (extraneous). If substitution doesn’t make the expression invalid but doesn’t satisfy the equality, it’s extraneous too (often produced by squaring).
Paste the equation and I’ll test both values and tell you which statement is correct.
If you want to check which of x = –2 and x = 6 is extraneous yourself, follow these steps:
1. Substitute x = –2 into the original equation and simplify. If the equality holds and no denominator becomes 0 or a square root becomes negative, x = –2 is a true solution.
2. Substitute x = 6 and do the same check.
3. If substitution makes a denominator 0 or a square root invalid, that value is not allowed (extraneous). If substitution doesn’t make the expression invalid but doesn’t satisfy the equality, it’s extraneous too (often produced by squaring).
Paste the equation and I’ll test both values and tell you which statement is correct.
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