5272道题目5525 条题源记录 · 相同内容已合并
二次方程・零点与韦达定理进阶
Which of the following equations has solutions 13 and −24?
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二次方程・零点与韦达定理进阶
\( y=0 \)
\( y=4(x^2-36) \)
Which ordered pair \( (x,\ y) \) is a solution to the given system of equations?
原库参考解析
二次方程・零点与韦达定理挑战
\( \frac{5}{9}(5x+9)\left(x+\sqrt{5k+9}\right)\left(x-\sqrt{5k+9}\right)=0 \)
In the given equation, k is a positive constant. The product of the solutions to the equation is 81. What is the value of k?
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二次方程・零点与韦达定理挑战
\( 5x-7y=x^2 \)
\( 5x-7y=64 \)
A solution to the given system of equations is \( (x,\ y) \), where x is positive. What is the value of x?
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二次方程・零点与韦达定理进阶
The product of a positive number x and the number that is 5 less than x is equal to 104. What is the value of x?
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二次方程・零点与韦达定理进阶
The product of a positive number x and the number that is 4 more than x is 60. What is the value of x?
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二次方程・零点与韦达定理进阶
\( x^2-12x+8=0 \)
What is the sum of the solutions to the given equation?
原库参考解析
二次方程・零点与韦达定理挑战
\( (x+5)(x-11)=0 \)
What is the positive solution to the given equation?
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二次方程・零点与韦达定理进阶
\( x^2+5=(18)^2+5 \)
What is a solution to the given equation?
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二次方程・零点与韦达定理挑战
The function h is defined by \( h(x)=-\sqrt{x^2+bx+c} \) where b and c are constants. In the xy-plane, the graph of \( y=h(x) \) contains the points \( (2,\ 0) \) and \( (0,-\sqrt{390}) \) . If \( h(m)=0 \), what is the greatest possible value of m?
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二次方程・零点与韦达定理进阶
In the xy-plane, the graph of \( y=4x \) intersects the graph of \( y=x^2−77 \) at two points. What is the sum of the x-coordinates of the two points of intersection?
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二次方程・零点与韦达定理进阶
\( x^2-2x=29 \)
What is one of the solutions to the given equation?
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