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 product of two positive integers is 752. If the first integer is 15 greater than twice the second integer, what is the smaller of the two integers?
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二次方程・零点与韦达定理挑战
\( y-x=40 \)
\( y=x^2-38x \)
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 \( y \)?
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二次方程・零点与韦达定理进阶
y=(x-3)(x+10)
Which table gives four values of x and the corresponding values of y for the given quadratic equation?
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二次方程・零点与韦达定理挑战
y=(x-21)(x-42)
y=0
The graphs of the equations in the given system of equations 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・零点与韦达定理挑战
\( \frac{1}{58}x^2+\left(s-\frac{1}{58}t\right)x-st=0 \)
In the given equation, s and t are positive constants. The product of the solutions to the given equation is \( -2kst \) , 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
\( x^2+13x=-9 \)
What are all possible solutions to the given equation?
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二次方程・零点与韦达定理进阶
\( x\left(x+9\right)-13=0 \)
What are the solutions to the given equation?
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二次方程・零点与韦达定理挑战

The table shows three values of x and their corresponding values of y. There is a quadratic relationship between x and y. An equation that represents this relationship can be written as \( y=36x^2-bx-120 \), where is a constant. What is the value of b?
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二次方程・零点与韦达定理挑战
\( x-a=\left(x-a\right)\left(x-24\right) \)
Which of the following are solutions to the given equation, where \( a \) is a constant and \( a>25 \)?
I. \( a \)
II. 24
III. 25
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二次方程・零点与韦达定理进阶
\( (w+16)(w+4)=0 \)
What is one possible solution to the given equation ?
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二次方程・零点与韦达定理进阶
\( x^2+49x+1=0 \)
What is one of the solutions to the given equation?
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二次方程・零点与韦达定理基础
\( 15x^2=15\left(9\right) \)
What is the negative solution to the given equation?
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