Question

13*{223-[(x+17)*(x+18)+11]}-46=500

Answer 1

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

$x_{1,\:2}=\frac{-455\pm \sqrt{455^2-4\cdot \:13\left(-768\right)}}{2\cdot \:13}$