Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Can you help me solve this radical equation √y-10 = y-2 the sqrt sign is only over the y-10

Sagot :

[tex]D:y-10\geq0 \wedge y-2\geq0\\ D:y\geq10 \wedge y\geq2\\ D:y\geq10\\\\ \sqrt{y-10}=y-2\\ y-10=(y-2)^2\\ y-10=y^2-4y+4\\ y^2-5y+14=0\\ \Delta=(-5)^2-4\cdot1\cdot14=25-56=-31\\ \Delta<0 \Rightarrow y\in \emptyset[/tex]