From tech troubles to travel tips, IDNLearn.com has answers to all your questions. Get comprehensive and trustworthy answers to all your questions from our knowledgeable community members.
Sagot :
[tex]The\ rectangle:a\ \times\ b\\\\ \left\{\begin{array}{ccc}ab=30\\2a+2b=34&/:2\end{array}\right\\\\\left\{\begin{array}{ccc}ab=30\\a+b=17\end{array}\right\\\\\left\{\begin{array}{ccc}ab=30\\a=17-b\end{array}\right\\\\substitute:\\\\(17-b)b=30[/tex]
[tex]-b^2+17b-30=0\\\\a=-1;\ b=17;\ c=-30\\\\\Delta=b^2-4ac\\\\\Delta=17^2-4\cdot(-1)\cdot(-30)=289-120=169;\ \sqrt\Delta=\sqrt{169}=13\\\\b_1=\frac{-17-13}{2\cdot(-1)}=\frac{-30}{-2}=15;\ b_2=\frac{-17+13}{2\cdot(-1)}=\frac{-4}{-2}=2\\\\a_1=17-15=2;\ a_2=17-2=15\\\\Answer:The\ rectangle:15m\ \times\ 2m.[/tex]
[tex]-b^2+17b-30=0\\\\a=-1;\ b=17;\ c=-30\\\\\Delta=b^2-4ac\\\\\Delta=17^2-4\cdot(-1)\cdot(-30)=289-120=169;\ \sqrt\Delta=\sqrt{169}=13\\\\b_1=\frac{-17-13}{2\cdot(-1)}=\frac{-30}{-2}=15;\ b_2=\frac{-17+13}{2\cdot(-1)}=\frac{-4}{-2}=2\\\\a_1=17-15=2;\ a_2=17-2=15\\\\Answer:The\ rectangle:15m\ \times\ 2m.[/tex]
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.