13×{223-[(x+17)×(x+18)+11]}-46=500
13×{223-[(x²+18x+17x+17×18)+11]}-46=500
13×{223-[(x²+35x+(17×18+11)]}-46=500
13×[223-(x²+35x+317)]-46=500
13×[223-x²-35x-317)]-46=500
13×[-x²-35x-94)]-46=500
-13x²-455x-1222-46=500
13x²+455x-768=0
a=13,b=455,c=-768
[tex]x_{1,\:2}=\frac{-455\pm \sqrt{455^2-4\cdot \:13\left(-768\right)}}{2\cdot \:13}[/tex]
