Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

solve the equation:
-149=x^2-24x

Sagot :

mariamikayla
[tex]-149=x^2-24x \\\\ x^2-24x+149=0 \\\\ a=1 \\ b=-24 \\ c=149 \\\\ \Delta=(-24)^2 -149*4= 576-596\to \boxed{-20} \\\\ x_1;x_2= \frac{-(-24)+ /-1 \sqrt{20}}{2} = \frac{24+/- 2i\sqrt{5}}{2} \\\\ x_1= \frac{24+2i\sqrt{5}}{2}= \frac{2(12+i\sqrt{5})}{2} \to\boxed{\boxed{12+i\sqrt{5}}} \\\\ x_2=\frac{24-2i\sqrt{5}}{2}=\frac{2(12-i\sqrt{5}}{2}\to\boxed{\boxed{12-i\sqrt{5}}}[/tex]
konrad509
[tex]-149=x^2-24x\\ x^2-24x+149=0\\ x^2-24x+144+5=0\\ (x-12)^2=-5\\ x-12=-\sqrt{-5} \vee x-12=\sqrt{-5}\\ x=12-\sqrt{5}i \vee x=12+\sqrt{5}i\\[/tex]
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.