Test 3
1.
\(ax^2-16x+32=0\)
\(S.S.=\{x_1,x_2\}\)
\(x_1=x_2\)
\(\Rightarrow a=?\)
A) \(6\)B) \(5\)C) \(4\)D) \(3\)E) \(2\)
2.
\(m\in\mathbb{N}\)
\(x^2-(m-3)x+m=0\)
\(S.S.=\{x_1,x_2\}\)
\(x_1=x_2\)
\(\Rightarrow\prod m=?\)
A) \(9\)B) \(8\)C) \(6\)D) \(5\)E) \(4\)
3.
\(x^2-(a-4)x+4=0\)
\(S.S.=\{x_1,x_2\}\)
\(x_1=x_2\)
\(\Rightarrow\sum a=?\)
A) \(3\)B) \(4\)C) \(5\)D) \(6\)E) \(8\)
4.
\(x^2-(a-3)x+a=0\)
\(S.S.=\{x_1,x_2\}\)
\(x_1=x_2\)
\(\Rightarrow\prod a=?\)
A) \(8\)B) \(9\)C) \(10\)D) \(12\)E) \(15\)
5.
\(m\in\mathbb{Z}^+\)
\(x^2+2(m+1)x+4m+1=0\)
\(S.S.=\{x_1,x_2\}\)
\(x_1=x_2\)
\(\Rightarrow m=?\)
A) \(2\)B) \(3\)C) \(4\)D) \(6\)E) \(8\)
6.
\(2mx^2+8x+1=0\)
Which of the following is correct for “m” if the equation has two different roots?
A) \(4>m\)B) \(8\ge m\)C) \(8>m\)D) \(4E) \(m\ge8\)
7.
\(mx^2+6x+m=0\)
Which of the following is correct for “m” if the equation has two different roots?
A) \(m\le3\)B) \(m<3\)C) \(-3\le m\)D) \(m<-3\)E) \(-3
8.
\(x^2-4x+b+2=0\)
If this equation has two different roots what could be the largest value of “b”?
A) \(-3\)B) \(-2\)C) \(-1\)D) \(0\)E) \(1\)