x_1*x_2=b/6\\x_1=1/6, x_2=2\\(1/6)*2=b/6\\1/3=b/6\\b=6:3=2\\\\x_1+x_2=-a/6\\1/6 +2=-a/6\\2\frac{1}{6}=-a/6\\\\\frac{13}{6}=-a/6=>a=-13\\\\a*b=2(-13)=-26" alt="6x^2+ax+b=(6x-1)(x-2)=6(x-1/6)(x-2)\\\\6x^2-ax-b=6(x^2+(a/6)x+(b/6))\\\\6(x-1/6)(x-2)=6(x^2+(a/6)x+(b/6))\\(x-1/6)(x-2)=x^2+(a/6)x+(b/6) => x_1*x_2=b/6\\x_1=1/6, x_2=2\\(1/6)*2=b/6\\1/3=b/6\\b=6:3=2\\\\x_1+x_2=-a/6\\1/6 +2=-a/6\\2\frac{1}{6}=-a/6\\\\\frac{13}{6}=-a/6=>a=-13\\\\a*b=2(-13)=-26" align="absmiddle" class="latex-formula">