5272道题目5525 条题源记录 · 相同内容已合并
判别式・相切与根的个数挑战
x(kx - 56) = -16
In the given equation, k is an integer constant. If the equation has no real solution, what is the least possible value of k?
原库参考解析
判别式・相切与根的个数基础
5x2 + 10x + 16 = 0
How many distinct real solutions does the given equation have?
原库参考解析
判别式・相切与根的个数挑战
x2 - 34x + c = 0
In the given equation, c is a constant. The equation has no real solutions if c > n. What is the least possible value of n?
原库参考解析
判别式・相切与根的个数挑战
Which quadratic equation has no real solutions?
原库参考解析
判别式・相切与根的个数进阶
\( x^2=-841 \)
How many distinct real solutions does the given equation have?
原库参考解析
判别式・相切与根的个数挑战
\( -9x^2+30x+c=0 \)
In the given equation, c is a constant. The equation has exactly one solution. What is the value of c?
原库参考解析
判别式・相切与根的个数挑战
In the xy-plane, the graph of the equation \( y=-x^2+9x-100 \) intersects the line \( y=c \) at exactly one point. What is the value of \( c \) ?
原库参考解析
判别式・相切与根的个数挑战
-x2 + bx -676 = 0
In the given equation, b is a positive integer. The equation has no real solution. What is the greatest possible value of b ?
原库参考解析
判别式・相切与根的个数挑战
2x2 - 4x = t
In the equation above, t is a constant. If the equation has no real solutions, which of the following could be the value of t ?
原库参考解析
判别式・相切与根的个数挑战
x2 - 34x + c = 0
In the given equation, c is a constant. The equation has no real solutions if c > n . What is the least possible value of n ?
原库参考解析
判别式・相切与根的个数挑战
-16x2 - 8x + c = 0
In the given equation, c is a constant. The equation has exactly one solution. What is the value of c ?
原库参考解析
判别式・相切与根的个数挑战
(x -1)2 =-4
How many distinct real solutions does the given equation have?
原库参考解析
