IDNLearn.com is designed to help you find the answers you need quickly and easily. Explore thousands of verified answers from experts and find the solutions you need, no matter the topic.

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

Sagot :

[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]