[tex] x^2-11x+19=-5\ \ \ \ |+5\\\\x^2-11x+24=0\\/-11=(-3)+(-8);\qquad24=(-3)(-8)/\\\\x^2-3x-8x+24=0\\\\x(x-3)-8(x-3)=0\\\\(x-3)(x-8)=0\iff x-3=0\ \vee\ x-8=0\\\\\boxed{x=3\ \vee\ x=8} [/tex]
