Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this
journey of growth together! 🌐📚🚀🎓
I'm relatively new and can sometimes make mistakes.
If you notice
any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on
Please select your preferred language
Let $z_1, z_2$ be the roots of the equation $z^2 + az + 12 = 0$ and $z_1, z_2$ form an equilateral triangle with origin. Then, the value of $|a|$ is
For equilateral triangle with origin: $z_1^2 + z_2^2 = z_1 z_2$. $(z_1+z_2)^2 - 2z_1z_2 = z_1z_2 \Rightarrow a^2 - 24 = 12 \Rightarrow a^2 = 36 \Rightarrow |a| = 6$.
BETA
