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
\( x^2-5x+3=0 \)
What is one of the solutions to the given equation?
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二次方程・零点与韦达定理进阶
The product of a positive number x and the number that is 1 less than x is equal to 272. What is the value of x?
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二次方程・零点与韦达定理进阶
\( 4x^2-x=18 \)
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
\( \left(x-35\right)^2=1 \)
What is the sum of the solutions to the given equation?
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二次方程・零点与韦达定理进阶
\( \left(x-42\right)^2=1 \)
What is the sum of the solutions to the given equation?
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二次方程・零点与韦达定理进阶
\( y=0 \)
\( y=8\left(x^2-36\right) \)
Which ordered pair \( (x,\ y) \) is a solution to the given system of equations?
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二次方程・零点与韦达定理挑战
\( \frac{5}{9}\left(5x+9\right)\left(x+\sqrt{5k+9}\right)\left(x-\sqrt{5k+9}\right)=0 \)
In the given equation, k is a positive constant. The product of the solutions to the equation is 72. What is the value of k?
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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 \( (0,−\surd 334) \) . If \( h(m)=0 \), what is the greatest possible value of m?
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二次方程・零点与韦达定理挑战
\( x^2-15x+12=0 \)
What is the sum of the solutions to the given equation?
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二次方程・零点与韦达定理进阶
\( x^2-28x=0 \)
Which of the following is a solution to the given equation?
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二次方程・零点与韦达定理挑战
\( 3x^2-5x-5=0 \)
What is the greatest solution to the given equation?
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二次方程・零点与韦达定理挑战
\( y=x^2+17x+4 \)
\( y=x+4 \)
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?
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