1. If a linear function f satisfies f(1) = −3 and f(8) = −5, find f(x).

    $\displaystyle y={{19}\over{7}}-{{2\,x}\over{7}}$ y = 19 − 3x $\displaystyle y=-{{2\,x}\over{7}}-{{19}\over{7}}$ y = −3x − 19

  2. Solve the equation $\displaystyle 2\,x^2-5\,x-3=0$.

    $\displaystyle \left[ x=3 , x=-{{1}\over{2}} \right] $ $\displaystyle \left[ x=-3 , x={{1}\over{2}} \right] $ $\displaystyle \left[ x=-{{\sqrt{37}-5}\over{2}} , x={{\sqrt{37}+5}\over{2}} \right] $ $\displaystyle \left[ x={{3}\over{2}} , x=1 \right] $


Department of Mathematics
Last modified: 2025-11-05