# Test: Quadratic Equations I - Challenging

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Question 1:   Solve: $2{x}^{2}-3x=0$
$x=1.5$ or $x=0$
$x=\frac{2}{3}$ or $x=0$
$x=\frac{2}{3}$
$x=3$
Question 2:   Solve: $\left(x-2\right)\left(x+5\right)=0$
$x=1$ or $x=2$
$x=0$ or $x=2$
$x=5$ or $x=\frac{1}{2}$
$x=2$ or $x=-5$
Question 3:   Solve: $2\left(x-\frac{1}{2}\right)\left(x+\frac{1}{4}\right)=0$
$x=\frac{1}{2}$ or $x=-\frac{1}{4}$
$x=1$ or $x=-\frac{1}{2}$
$x=-1$ or $x=\frac{1}{2}$
$x=-\frac{1}{2}$ or $x=\frac{1}{4}$
Question 4:   Solve: $2{x}^{2}-x+5=0$
$x=1$ or $x=2$
$x=\frac{1±\sqrt{41}}{4}$
No solution
$x=3$ or $x=-2$
Question 5:   Solve: $3{x}^{2}+5x+2=0$
$x=1$ or $x=-\frac{1}{3}$
$x=\frac{1}{2}$ or $x=-\frac{1}{6}$
$x=-1$ or $x=-\frac{2}{3}$
$x=\frac{1}{6}$ or $x=-\frac{5}{6}$
Question 6:   Solve: $-5x+3+\frac{2}{x}=0$
$x=-1$ or $x=1$
$x=1$ or $x=0$
$x=1$ or $x=-0.4$
$x=-1$ or $x=\frac{3}{5}$
Question 7:   Solve: $-3x-5+\frac{8}{x}=0$
$x=1$ or $x=-1$
$x=-2\frac{2}{3}$ or $x=1$
$x=-1$ or $x=2$
$x=-1$ or $x=1\frac{1}{3}$
Question 8:   Solve: $\frac{1}{2}x\left(x-1\right)=6$
$x=4$ or $x=-3$
$x=2$ or $x=-4$
$x=2$ or $x=-1$
$x=3$ or $x=-2$
Question 9:   Solve: $2x\left(x-6\right)=14$
$x=5$ or $x=-2$
$x=2$ or $x=-6$
$x=4$ or $x=-3$
$x=7$ or $x=-1$
Question 10:   Solve: $81-{\left(x-2\right)}^{2}=0$
$x=9$ or $x=-12$
$x=11$ or $x=-7$
$x=-9$ or $x=11$
$x=-11$ or $x=9$