# Test: Quadratic Functions III - Normal

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Question 1:   Write the equation  ${\left(2x-1\right)}^{2}=\left(x-1\right)\left(x+1\right)$  in a standard form  ${x}^{2}+bx+c=0$
${x}^{2}-\frac{8}{3}x+\frac{2}{3}=0$
${x}^{2}-\frac{4}{3}x+\frac{2}{3}=0$
${x}^{2}-\frac{4}{3}x+2=0$
${x}^{2}-4x+2=0$
Question 2:   Are  $x=4,\text{\hspace{0.17em}}x=8$  square roots of the quadratic equation  ${x}^{2}-3x-4=0$
$x=4,\text{\hspace{0.17em}}х\ne 8$
$x=4,\text{\hspace{0.17em}}х=8$
$x\ne 4,\text{\hspace{0.17em}}х=8$
$x\ne 4,\text{\hspace{0.17em}}х\ne 8$
Question 3:   Solve the equation  $7{x}^{2}-63=0$
$x=0,\text{\hspace{0.17em}}x=-3$
$x=±3$
$x=0,\text{\hspace{0.17em}}x=3$
$x=±7$
Question 4:   Solve the equation  ${x}^{2}+5x=0$
$x=±5$
$x=0$
$x=0,\text{\hspace{0.17em}}\text{\hspace{0.17em}}x=5$
$x=0,\text{\hspace{0.17em}}\text{\hspace{0.17em}}x=-5$
Question 5:   Solve the equation  $-{x}^{2}+5x-4=0$
$x=3,\text{\hspace{0.17em}}x=5$
$x=-3,\text{\hspace{0.17em}}x=5$
${x}_{1,2}=\frac{-5±\sqrt{13}}{2}$
${x}_{1,2}=\frac{5±\sqrt{13}}{2}$
Question 6:   Which of the graphs represents the equation  $y={x}^{2}$

Question 7:   Find a square root of a quadratic equation based on a graph

$x=-1,\text{\hspace{0.17em}}x=2$
${x}_{1,2}=±2$
$x=-1,\text{\hspace{0.17em}}x=0$
$x=0,\text{\hspace{0.17em}}x=2$
Question 8:   Find a square root of a quadratic equation based on a graph

$х=2$
$х=4$
${x}_{1,2}=±2$
$х=0$
Question 9:   Find a square root of a quadratic equation based on a graph

$x=3,\text{\hspace{0.17em}}x=0$
$x=3,\text{\hspace{0.17em}}x=-5$
$x=3,\text{\hspace{0.17em}}x=5$
$x=-3,\text{\hspace{0.17em}}x=5$
Question 10:   Solve the equation  $3{x}^{2}-7x+10=0$
${x}_{1,2}=±\frac{7}{3}$
$x=-3,\text{\hspace{0.17em}}x=4$
The equation has no solution.
$x=\frac{7}{3},\text{\hspace{0.17em}}x=\frac{10}{3}$