Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

solve and check for extraneous solutions.
[tex] \sqrt{3x+1} =x-1[/tex]

Sagot :

konrad509
[tex]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 [/tex]

The solution is 5.
The extraneous solution is 0.
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.