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
\( y=-6.5 \)
\( y=x^2+8x+a \)
In the given system of equations, a is a positive integer constant. The system has no real solutions. What is the least possible value of a?
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判别式・相切与根的个数挑战
\( \frac{1}{cx}=\frac{x}{72}+\frac{1}{c} \)
In the given equation, c is a constant. If the equation has exactly one solution, what is the value of c?
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判别式・相切与根的个数挑战
\( \left(x+64\right)^2=-100 \)
How many distinct real solutions does the given equation have?
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判别式・相切与根的个数挑战
-4x2+ bx - 25 = 0
In the given equation, b is a positive integer. The equation has no real solution. What is the largest possible value of b?
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判别式・相切与根的个数进阶
\( y=-0.5 \)
\( y=x^2+8x+a \)
In the given system of equations, a is a positive integer constant. The system has no real solutions. What is the least possible value of a?
原库参考解析
判别式・相切与根的个数挑战
\( y=x-c \)
\( y=-4\left(x-8\right)^2 \)
In the given system of equations, c is a constant. The system has two distinct real solutions. Which of the following could be the value of c?
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判别式・相切与根的个数进阶
\( y=2x^2-12x+22 \)
\( y+3=0 \)
How many solutions are there to the given system of equations?
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判别式・相切与根的个数进阶
Which quadratic equation has exactly one distinct real solution?
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判别式・相切与根的个数挑战
\( \frac{1}{cx}=\frac{x}{96}+\frac{1}{c} \)
In the given equation, c is a constant. If the equation has exactly one solution, what is the value of c?
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判别式・相切与根的个数挑战
\( x^2+\left(\sqrt{k-3}\right)x+33=0 \)
In the given equation, k is a constant. The equation has exactly one real solution. What is the value of k?
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判别式・相切与根的个数挑战
\( x(kx-96)=-8 \)
In the given equation, \( k \) is an integer constant. If the equation has two distinct real solutions, what is the greatest possible value of \( k \)?
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判别式・相切与根的个数进阶
\( y=-3x^2-40 \)
\( y=qx-37 \)
In the given system of equations, q is a positive constant. The graphs of the equations in the given system intersect at exactly one point,(x, y), in the xy-plane. What is the value of x?
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