# Test: Quadratic Equations II - Challenging

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Question 1:   Solve: ${x}^{2}-x-30=0$
$x=3$ or $x=-10$
$x=6$ or $x=-3$
$x=-5$ or $x=6$
$x=-\frac{1}{2}$ or $x=60$
Question 2:   Solve: ${x}^{2}-8\frac{1}{2}x+4=0$
$x=4$ or $x=1$
$x=8$ or $x=\frac{1}{2}$
$x=16$ or $x=\frac{1}{4}$
$x=2$
Question 3:   Solve: ${x}^{2}-4\frac{1}{6}x-1\frac{1}{2}=0$
$x=-6$ or $x=\frac{1}{4}$
$x=7\frac{2}{3}$ or $x=-\frac{1}{6}$
$x=4\frac{1}{2}$ or $x=-\frac{1}{3}$
$x=3$ or $x=-\frac{1}{2}$
Question 4:   Solve: $6{x}^{2}-5x-6=0$
$x=2$ or $x=-3$
$x=1\frac{1}{2}$ or $x=-\frac{2}{3}$
$x=\frac{3}{4}$ or $x=-1\frac{1}{3}$
$x=-\frac{9}{6}$ or $x=6$
Question 5:   Solve: $6{x}^{2}-7x-20=0$
$x=2\frac{1}{2}$ or $x=-1\frac{1}{3}$
$x=3\frac{3}{4}$ or $x=-\frac{2}{3}$
$x=4$ or $x=-5$
$x=1\frac{1}{2}$ or $x=-2\frac{2}{3}$
Question 6:   Solve: $12{x}^{2}+\frac{1}{6}x-\frac{1}{6}=0$
$x=\frac{1}{9}$ or $x=-\frac{1}{8}$
$x=\frac{1}{7}$ or $x=-\frac{1}{6}$
$x=\frac{1}{3}$ or $x=-\frac{1}{4}$
$x=\frac{1}{2}$ or $x=-\frac{1}{3}$
Question 7:   Solve: $10x-\frac{1}{5x}+1=0$
$x=-\frac{1}{4}$ or $x=\frac{1}{5}$
$x=-\frac{1}{3}$ or $x=\frac{2}{5}$
$x=-1$ or $x=\frac{1}{5}$
$x=-\frac{1}{5}$ or $x=\frac{1}{10}$
Question 8:   Solve: $2x-\frac{2}{x}-3=0$
$x=-\frac{1}{4}$ or $x=4$
$x=-1$ or $x=2$
$x=-\frac{1}{2}$ or $x=2$
$x=-1$ or $x=1$
Question 9:   Solve: $4{x}^{2}-13x+3=0$
$x=1$ or $x=3$
$x=3$ or $x=\frac{1}{4}$
$x=1$ or $x=2$
$x=2$ or $x=\frac{1}{3}$
Question 10:   Solve: $7{x}^{2}-x-\frac{2}{7}=0$
$x=14$ or $x=-\frac{1}{7}$
$x=\frac{3}{14}$ or $x=-\frac{4}{7}$
$x=\frac{2}{7}$ or $x=-\frac{1}{7}$
$x=7$ or $x=-\frac{1}{14}$