5272道题目5525 条题源记录 · 相同内容已合并
二次方程・零点与韦达定理挑战
The function g is defined by \( g(x)=(x+17)(t−x) \), where t is a constant. In the xy-plane, the graph of \( y=g(x) \) passes through the point (26, 0). What is the value of \( g(0) \)?
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二次方程・零点与韦达定理进阶
\( 49x^2-18=7 \)
Which of the following is a solution to the given equation?
Which of the following is a solution to the given equation?
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二次方程・零点与韦达定理进阶
The function g is defined by \( g(x)=(x+17)(t-x) \) , where t is a constant. In the xy-plane, the graph of \( y=g(x) \) passes through the point \( (24,\ 0) \). What is the value of \( g(0) \) ?
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二次方程・零点与韦达定理挑战
\( 48x^2+48x=-3 \)
One solution to the given equation can be written as \( x=\frac{-6-k\sqrt{3}}{12} \), where k is a constant. What is the value of k?
One solution to the given equation can be written as \( x=\frac{-6-k\sqrt{3}}{12} \), where k is a constant. What is the value of k?
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二次方程・零点与韦达定理进阶
\( x(x+9)-13=0 \)
What are the solutions to the given equation?
What are the solutions to the given equation?
参考答案
二次方程・零点与韦达定理挑战
\( x-a=(x-a)(x-24) \)
Which of the following are solutions to the given equation, where a is a constant and a > 25?
I. a
II. 24
III. 25
Which of the following are solutions to the given equation, where a is a constant and a > 25?
I. a
II. 24
III. 25
参考答案
二次方程・零点与韦达定理挑战
\( y=13x+2 \)
\( y=13x^2+2 \)
Which ordered pair (x, y) is a solution to the given system of equations?
\( y=13x^2+2 \)
Which ordered pair (x, y) is a solution to the given system of equations?
参考答案
二次方程・零点与韦达定理挑战
\( x-3y=12 \)
\( x^2+9y^2=-6xy+16 \)
The solution to the given system of equations is (x, y). Which of the following could be (x, y)?
I: (4, \( -\frac{8}{3} \) )
II: (8, \( -\frac{4}{3} \) )
III: (3, \( −3 \) )
\( x^2+9y^2=-6xy+16 \)
The solution to the given system of equations is (x, y). Which of the following could be (x, y)?
I: (4, \( -\frac{8}{3} \) )
II: (8, \( -\frac{4}{3} \) )
III: (3, \( −3 \) )
参考答案
二次方程・零点与韦达定理进阶
\( y=x^2+22x+4 \)
\( y=x+4 \)
The graphs of the equations in the given system intersect at the point (x, y) in the xy-plane. What is a possible value of x?
\( y=x+4 \)
The graphs of the equations in the given system intersect at the point (x, y) in the xy-plane. What is a possible value of x?
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二次方程・零点与韦达定理进阶
\( x^2-7x+8=0 \)
The solutions to the given equation can be written in the form \( \frac{7±\surd k}{2} \), where k is a constant. What is the value of k?
The solutions to the given equation can be written in the form \( \frac{7±\surd k}{2} \), where k is a constant. What is the value of k?
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二次方程・零点与韦达定理挑战
The product of a positive number x and the number that is 4 more than x is 117. What is the value of x?
参考答案
二次方程・零点与韦达定理进阶
\( 8(x-6)^2=800 \)
What is the positive solution to the given equation?
What is the positive solution to the given equation?
参考答案
