Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

what is the solution set for 12=2(3x - 7)^2 +4

Sagot :

naǫ
[tex]12=2(3x-7)^2+4 \ \ \ |-4 \\ 8=2(3x-7)^2 \ \ \ |\div 2 \\ 4=(3x-7)^2 \\ \sqrt{4}=\sqrt{(3x-7)^2} \\ 2=|3x-7| \\ 3x-7=2 \ \lor \ 3x-7=-2 \\ 3x=2+7 \ \lor \ 3x=-2+7 \\ 3x=9 \ \lor \ 3x=5 \\ x=\frac{9}{3} \ \lor \ x=\frac{5}{3} \\ x=3 \lor \ x=1 \frac{2}{3} \\ \boxed{x \in \{1 \frac{2}{3}, 3 \} }[/tex]
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.