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Ivanshal [37]
3 years ago
8

Solve and check for extraneous solutions.

" title=" \sqrt{3x+1} =x-1" alt=" \sqrt{3x+1} =x-1" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
drek231 [11]3 years ago
7 0
D:3x+1\geq 0\wedge x-1\geq 0\\
D:3x\geq-1 \wedge x\geq1\\
D:x\geq-\frac{1}{3} \wedge x\geq1\\
D:x\geq1\\
\sqrt{3x+1}=x-1\\
3x+1=(x-1)^2\\
3x+1=x^2-2x+1\\
x^2-5x=0\\
x(x-5)=0\\
x=0 \vee x=5


The solution is 5.
The extraneous solution is 0.
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Answer:

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Step-by-step explanation:

The "leading coefficient" is the coefficient of the highest-degree term in the sum of terms that makes up a polynomial.

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You don't actually have to do the rest of the multiplication in order to find the required answer.

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<em>Comment on degree</em>

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If this example were one of your problems, it would be rejected as "not a polynomial in one variable," since two variables are involved.

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Answer:

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