Test: Quadratic Equations II - Ambitious

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Question 1:   Solve : $\left(x-5\right)\left(x+7\right)=0$
$\left\{\begin{array}{l}{x}_{1}=-2\frac{1}{2}\\ {x}_{2}=3\frac{1}{2}\end{array}$
$\left\{\begin{array}{l}{x}_{1}=-5\\ {x}_{2}=7\end{array}$
$\left\{\begin{array}{l}{x}_{1}=5\\ {x}_{2}=-7\end{array}$
$\left\{\begin{array}{l}{x}_{1}=2\\ {x}_{2}=3\end{array}$
Question 2:   Solve: $-3\left(x+\frac{1}{2}\right)\left(x-1\right)=0$
$\left\{\begin{array}{l}{x}_{1}=-1\\ {x}_{2}=2\end{array}$
$\left\{\begin{array}{l}{x}_{1}=-3\\ {x}_{2}=-\frac{1}{3}\end{array}$
$\left\{\begin{array}{l}{x}_{1}=-\frac{1}{2}\\ {x}_{2}=1\end{array}$
$\left\{\begin{array}{l}{x}_{1}=-\frac{2}{5}\\ {x}_{2}=-1\end{array}$
Question 3:   Solve: ${x}^{2}+3x+3=0$
No solution
$x=1$
$x=2$
$\left\{\begin{array}{l}x=1\\ x=2\end{array}$
Question 4:   Solve: ${x}^{2}+2x+1=0$
$x=1$
$x=-1$
$\left\{\begin{array}{l}{x}_{1}=-1\\ {x}_{2}=1\end{array}$
$x=-\frac{1}{2}$
Question 5:   Solve: ${x}^{2}+x-6=0$
$\left\{\begin{array}{l}{x}_{1}=6\\ {x}_{2}=-2\end{array}$
$\left\{\begin{array}{l}{x}_{1}=-2\\ {x}_{2}=3\end{array}$
$\left\{\begin{array}{l}{x}_{1}=-5\\ {x}_{2}=2\end{array}$
$\left\{\begin{array}{l}{x}_{1}=-3\\ {x}_{2}=2\end{array}$
Question 6:   Solve: $3{x}^{2}-4x+7=0$
$x=2$
$x=-\frac{3}{4}$
No solution
$\left\{\begin{array}{l}{x}_{1}=-\frac{1}{3}\\ {x}_{2}=4\end{array}$
Question 7:   Solve: ${x}^{2}-6x+9=0$
No solution
$x=3$
$x=1$
$x=2$
Question 8:   Solve: ${x}^{2}+5x-14=0$
$\left\{\begin{array}{l}{x}_{1}=-5\\ {x}_{2}=14\end{array}$
$\left\{\begin{array}{l}{x}_{1}=-6\\ {x}_{2}=5\end{array}$
$\left\{\begin{array}{l}{x}_{1}=-7\\ {x}_{2}=2\end{array}$
No solution
Question 9:   Solve: $2{x}^{2}-3x-4=0$
$\left\{\begin{array}{l}{x}_{1}\approx 1.71\\ {x}_{2}\approx -0.24\end{array}$
$\left\{\begin{array}{l}{x}_{1}\approx 3.11\\ {x}_{2}\approx -0.93\end{array}$
$\left\{\begin{array}{l}{x}_{1}\approx 2.35\\ {x}_{2}\approx -0.85\end{array}$
$\left\{\begin{array}{l}{x}_{1}\approx 1.78\\ {x}_{2}\approx 4.06\end{array}$
Question 10:   Solve: $\frac{1}{3}{x}^{2}+\frac{1}{2}x-\frac{1}{4}=0$
$\left\{\begin{array}{l}{x}_{1}\approx 0.37\\ {x}_{2}\approx -1.26\end{array}$
$\left\{\begin{array}{l}{x}_{1}\approx 0.29\\ {x}_{2}\approx -0.61\end{array}$
$\left\{\begin{array}{l}{x}_{1}\approx 0.4\\ {x}_{2}\approx -1.9\end{array}$
$\left\{\begin{array}{l}{x}_{1}\approx 1.03\\ {x}_{2}\approx -2.15\end{array}$