Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

discriminant of 9x^2+12x+4=0

Sagot :

[tex]9x^2+12x+4=0\\\\(3x)^2+2\cdot3x\cdot2+2^2=0\\\\(3x+2)^2=0\iff3x+2=0\\\\3x=-2\ \ \ /:3\\\\x=-\frac{2}{3}\\\\-------------------------------\\\\(a+b)^2=a^2+2ab+b^2[/tex]
kate200468
[tex]the\ discriminant\ of\ ax^2+bx+c=0:\ \ \ \ \Delta=b^2-4\cdot b\cdot c \\---------------------------\\9x^2+12x+4=0\ \ \ \Rightarrow\ \ \ \Delta=12^2-4\cdot9\cdot4=144-144=0\\\\\Delta=0\ \ \ \Rightarrow\ \ \ x_0=- \frac{b}{2a} =- \frac{12}{2\cdot9} =- \frac{2\cdot2\cdot3}{2\cdot3\cdot3}= - \frac{2}{3} \\\\Ans.\ The\ discriminant\ is\ \Delta=0[/tex]
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.