Test: Quadratic Functions III - Challenging

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Question 1:   Solve the equation   x 2 9x x =0
х=3
х=9
х=3
x 1,2 =±3
Question 2:   Solve the equation   x 2 5 x 2 +4=0
x=±4,x=±1
x=±1
x=4,x=1
x=±4
Question 3:   Solve the equation   x 2 12 ( x ) 2 28=0
х=14,х=2
х=2
х=14,х=2
х=14
Question 4:   Solve the equation   x 2 3x+ 7 x2 = 7 x2 2
х=2
х=1
x=2,х=1
х=1
Question 5:   Which quadratic equation corresponds to the below graph?

x 2 6x=0
x 2 3x+5=0
x 2 6x+4=0
x 2 6x+5=0
Question 6:   Which quadratic equation corresponds to the below graph?

x 2 +9x5=0
x 2 +9x=0
x 2 +9x14=0
x 2 9x+14=0
Question 7:   For what value of   b   the equation   4 х 2 bx+20=0   has only one square root?
b=8 5
b=±8 5
b=8 5
b= 5
Question 8:   What is a sign of a coefficient   а   and discriminant of the quadratic equation represented by the following graph:

a<0,D>0
a>0,D>0
a>0,D<0
a<0,D<0
Question 9:   Based on the Vieta’s Theorem find   x 1 2 + x 2 2  ,  when   х 1   and   х 2   are square roots of   3 x 2 x+10=0
6 5 9
1
22 9
7 9
Question 10:   Based on the Vieta's Theorem find   х 2 х 1  ,  when   х 1   and   х 2   are square roots of   x 2 5x+6=0
0
1
2
±1