1. Solve the equation $\displaystyle 2\,x^2+6\,x+4=0$.

    $\displaystyle \left[ x=-{{\sqrt{17}+3}\over{2}} , x={{\sqrt{17}-3}\over{2}}
\right] $ [ x = 1 ,  x = 2 ] [ x = −2 ,  x =  − 1 ] $\displaystyle \left[ x=-\sqrt{5}-3 , x=\sqrt{5}-3 \right] $

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

    y = x + 9 y = x − 9 $\displaystyle y=-{{2\,x}\over{7}}-{{9}\over{7}}$ $\displaystyle y={{9}\over{7}}-{{2\,x}\over{7}}$



Department of Mathematics
Last modified: 2023-07-08