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
\( y+k=x+26 \)
\( y-k=x^2-5x \)
In the given system of equations, k is a constant. The system has exactly one distinct real solution. What is the value of k?
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判别式・相切与根的个数挑战
\( 4x^2-px+w=-86 \)
In the given equation, p and w are integer constants. The equation has exactly one real solution. Which is NOT a possible value of w?
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判别式・相切与根的个数挑战
\( y=-3x^2-34 \)
\( y=qx-31 \)
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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判别式・相切与根的个数挑战
\( y=3x^2+32 \)
\( y=px+29 \)
In the given system of equations, p 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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判别式・相切与根的个数挑战
\( -x^2+bx-49=0 \)
In the given equation, b is an integer. The equation has no real solutions. What is the least possible value of b?
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判别式・相切与根的个数进阶
\( y=2x^2-15x+23 \)
\( y=x+a \)
In the given system of equations, a is a 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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判别式・相切与根的个数进阶
y = 2x2 - 21x +64
y = 3x + a
In the given system of equations, a is a 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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判别式・相切与根的个数基础
\( -3x^2+bx-12=0 \)
In the given equation, b is a positive integer. The equation has no real solution. What is the largest possible value of b?
原库参考解析
判别式・相切与根的个数挑战
\( 18x^2-24x+c=0 \)
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
\( y=x-c \)
\( y=-4\left(x-6\right)^2 \)
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・相切与根的个数挑战
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
\( x^2+38x+c=0 \)
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
