Generating...                               quiztwo_n0

  1. If a linear function f satisfies f(1) = 1 and f(7) = 6, find f(x).

    y = x + 1 $\displaystyle y={{5\,x}\over{6}}+{{1}\over{6}}$ y = x − 1 $\displaystyle y={{5\,x}\over{6}}-{{1}\over{6}}$

  2. Solve the equation $\displaystyle 3\,x^2-6\,x+2=0$.

    $\displaystyle \left[ x=-{{\sqrt{3}+3}\over{3}} , x={{\sqrt{3}-3}\over{3}} \right] $ $\displaystyle \left[ x=-{{\sqrt{3}-3}\over{3}} , x={{\sqrt{3}+3}\over{3}} \right] $ $\displaystyle \left[ x=3-\sqrt{7} , x=\sqrt{7}+3 \right] $ $\displaystyle \left[ x=-{{\sqrt{15}-3}\over{3}} , x={{\sqrt{15}+3}\over{3}} \right] $


Department of Mathematics
Last modified: 2026-09-10