Sample quiz on solving quadratic equations
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1. Solve the quadratic equation $3x^2+x-4=0$
   
   $x=1,-\frac{3}{4}$
   $x=1,-\frac{4}{3}$
   $x=-1,-\frac{4}{3}$
   $x=-1,-\frac{3}{4}$
   
2. Solve the quadratic equation $2x^2+x-6=0$
   
   $x=-\frac{3}{2},2$
   $x=-2,\frac{3}{2}$
   $x=-2,\frac{2}{3}$
   $x=-2,-\frac{3}{2}$
3. Solve the quadratic equation $3x^2-7x-6=0$
   
   $x=-3,\frac{2}{3}$
   $x=-3,\frac{3}{2}$
   $x=3,-\frac{3}{2}$
   $x=3,-\frac{2}{3}$
4. Solve the quadratic equation $5x^2-8x-4=0$
   
   $x=2,-\frac{2}{5}$
   $x=2,-\frac{5}{2}$
   $x=-2,-\frac{2}{5}$
   $x=-2,-\frac{5}{2}$
5. Solve the quadratic equation $7x^2+12x-4=0$
   
   $x=-2,\frac{4}{7}$
   $x=-2,\frac{12}{7}$
   $x=-2,\frac{2}{7}$
   $x=-2,\frac{7}{2}$
6. Solve the quadratic equation $x^2+4x-4=0$
   
   $x=-2$
   $x=-4$
   $x=-2\pm \sqrt{2}$
   $x=-2\pm 2\sqrt{2}$
7. Solve the quadratic equation $x^2+7x+6=0$
   
   $x=-1,-6$
   $x=-2,-3$
   $x=1,6$
   $x=2,3$
8. Solve the quadratic equation $9x^2-9x-4=0$
   
   $x=-\frac{4}{3},-\frac{1}{3}$
   $x=-\frac{4}{3},\frac{1}{3}$
   $x=\frac{4}{3},-\frac{1}{3}$
   $x=\frac{4}{3},-\frac{1}{9}$
9. Solve the quadratic equation $x^2-9x-10=0$
   
   $x=-10,-9$
   $x=-10,-1$
   $x=-10,1$
   $x=-1,10$
10. Solve the quadratic equation $13x^2+37x-6=0$
    
    $x=-\frac{2}{13},3$
    $x=-3,-\frac{2}{13}$
    $x=-3,\frac{2}{13}$
    $x=-3,\frac{13}{2}$
11. Solve the quadratic equation $5x^2-8x=0$
    
    $x=0,\frac{8}{5}$
    $x=0,\frac{5}{8}$
    $x=0,-\frac{8}{5}$
    $x=\frac{8}{5}$
12. Solve the quadratic equation $x^2-2x+8=0$
    
    $x=4,-2$
    $x=2,-4$
    $x=-2,-4$
    No real solution
13. Solve the quadratic equation $x^2+9=0$
    
    $x=\pm 3$
    $x=\pm 9$
    $x=-3$
    No real solution
14. Solve the quadratic equation $x^2-3x-4=6$
    
    $x=-1,4$
    $x=-2,5$
    $x=-4,1$
    $x=-5,2$
15. Solve the quadratic equation $2x^2-x-1=5$
    
    $x=-\frac{1}{2},2$
    $x=-2,\frac{1}{2}$
    $x=-\frac{3}{2},2$
    $x=-1,\frac{3}{2}$
16. Solve the quadratic equation $5x^2-20x=0$
    
    $x=0,4$
    $x=0,5$
    $x=0,-4$
    $x=0,20$
17. Solve the quadratic equation $x^2+3x-4=x+4$
    
    $x=1,-4$
    $x=2,-4$
    $x=4,-1$
    $x=4,-2$
18. Solve the quadratic equation $x^2-8x-4=0$
    
    $x=-4\pm 2\sqrt{5}$
    $x=-4\pm 2\sqrt{3}$
    $x=4\pm 2\sqrt{3}$
    $x=4\pm 2\sqrt{5}$
19. Solve the quadratic equation $x^2-2x-4=0$
    
    $x=1\pm\sqrt{5}$
    $x=2\pm\sqrt{5}$
    $x=-1\pm\sqrt{5}$
    No real solution
20. Based on the number of solutions, which of the following quadratic equations does not belong to the same class as the others?
    
    $x^2+4x+4=0$
    $x^2-4x+4=0$
    $x^2+4x+1=0$
    $x^2+2x+1=0$