# Test: Quadratic Functions III - Ambitious

Double click on maths expressions to zoom
Question 1:   Are  $x=3,\text{\hspace{0.17em}}x=5$  roots of the equation:  ${x}^{2}-6x+5=0$
$х=3,\text{\hspace{0.17em}}x=5$
$х\ne 3,\text{\hspace{0.17em}}x=5$
$х\ne 3,\text{\hspace{0.17em}}x\ne 5$
$х=3,\text{\hspace{0.17em}}x\ne 5$
Question 2:   Using the Vietaâ€™s formulas find  ${x}_{1}{x}_{2}$  and  ${x}_{1}+{x}_{2}$  for the equation  $2{x}^{2}-x+7=0$
${x}_{1}{x}_{2}=\frac{7}{2},\text{\hspace{0.17em}}{x}_{1}+{x}_{2}=\frac{1}{2}$
${x}_{1}{x}_{2}=\frac{1}{2},\text{\hspace{0.17em}}{x}_{1}+{x}_{2}=\frac{7}{2}$
${x}_{1}{x}_{2}=\frac{3}{2},\text{\hspace{0.17em}}{x}_{1}+{x}_{2}=\frac{1}{2}$
Cannot be found
Question 3:   Find the value of  ${x}_{1}^{2}{x}_{2}+{x}_{1}{x}_{2}^{2}=...$  without calculating square roots of  ${x}^{2}+x-56=0$
$56$
$53$
$40$
$47$
Question 4:   Which graph represents the equation  $y=3{x}^{2}$    Question 5:   Find a square root of the equation based on the graph: $x=1,\text{\hspace{0.17em}}x=5$
$x=0,\text{\hspace{0.17em}}x=5$
$x=0$
${x}_{1,2}=±5$
Question 6:   Find a square root of the quadratic equation based on the graph $х=3$
$х=0$
$х=-3$
${x}_{1,2}=±3$
Question 7:   What is the quadratic equation of the following graph ${x}^{2}-4x+8=0$
${x}^{2}-6x+8=0$
${x}^{2}-6x=0$
${x}^{2}-6x+6=0$
Question 8:   Solve the equation  ${\left(x-6\right)}^{2}=9$
$x=3,\text{\hspace{0.17em}}x=9$
${x}_{1,2}=±3$
$x=3,\text{\hspace{0.17em}}x=0$
The equation has no solution.
Question 9:   What are the signs of the square roots of a function that corresponds to the below graph: ${x}_{1}<0,{x}_{2}<0$
${x}_{1}<0,{x}_{2}>0$
${x}_{1}>0,{x}_{2}>0$
${x}_{1}>0,{x}_{2}<0$
Question 10:   Solve the equation  $8{x}^{2}+6x-2=0$
$x=-1,\text{\hspace{0.17em}}x=\frac{1}{4}$
The equation has no solution.
${x}_{1,2}=±1$
$x=-\frac{3}{4},\text{\hspace{0.17em}}x=\frac{1}{4}$