Which of the following functions has a maximum value of \(m\), where \(m\) is a positive constant?
f(\(x\))=\(m\)\(x\)2
f(\(x\))=-\(m\)\(x\)2
f(\(x\))=-\(x\)2+\(m\)
f(\(x\))=-(\(x\)+\(m\))2
Answer/Explanation
Ans: C
Question
2\(x\)2-3\(x\)-7=0
If \(c\) and \(d\) are the two solutions of the quadratic equation above, what is the value of \(c\)+\(d\) ?
Answer/Explanation
Ans: 1.5, 3/2
Question
(\(x\)+2)= (\(x\)-5)(\(x\)+2)
What is the sum of the solutions to the given equation ?
Answer/Explanation
Ans: 4
Question
\(x\)2+10=91
What is the positive solution to the given equation?
9
10
41
51
Answer/Explanation
Ans: A
Question
\(x\)2-2\(x\)-1=0
The equation above has solutions \(x\)= \(n\)+\(\sqrt{k}\) and \(x\)= \(n\)-\(\sqrt{k}\), where \(n\) and \(k\) are positive integers. What is the value of \(n\)+\(k\)?
Answer/Explanation
Ans: 3
Question
3\(x\)2+\(x\)-2=0
The solutions to the quadratic equation above are \(a\) and \(b\). what is the value of \(a\)+\(b\)?