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
\( y=3x+13 \)
\( y=3x^2+13 \)
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
\( 24x^2-\left(12a+2b\right)x+ab=0 \)
In the given equation, a and b are positive constants. The sum of the solutions to the given equation is \( k\left(6a+b\right) \), 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
\( x^2-84x-14=0 \)
What is the sum of the solutions to the given equation?
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二次方程・零点与韦达定理挑战
7x2(4x -13) (4x-u)=0
In the given equation, u is a positive constant. The sum of the solutions to the equation is 25 . What is the value of u?
原库参考解析
二次方程・零点与韦达定理挑战
\( 24x^2-\left(12a+2b\right)x+ab=0 \)
In the given equation, a and b are positive constants. The sum of the solutions to the given equation is \( k\left(6a+b\right) \), 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
\( x\left(x+4\right)-140=3x\left(x-10\right) \)
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
\( -3x^2-7x+1=0 \)
What is the greatest solution to the given equation?
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二次方程・零点与韦达定理进阶
\( x^2-24x-8=0 \)
What is the sum of the solutions to the given equation?
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二次方程・零点与韦达定理挑战
\( 125x^2-\left(25a+5b\right)x+ab=0 \)
In the given equation, a and b are positive constants. The sum of the solutions to the given equation is \( k\left(5a+b\right) \) , 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
\( x\left(13x+27\right)+c=5 \)
In the given equation, c is a constant. A solution to the equation is \( \frac{-27+\sqrt{261}}{26} \). What is the value of c?
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二次方程・零点与韦达定理挑战
The function h is defined by \( h\left(x\right)=-\sqrt{x^2+bx+c} \) where b and c are constants. In the xy-plane, the graph of \( y=h\left(x\right) \)contains the points \( \left(2,\ 0\right) \) and \( \left(0,\ -\sqrt{358}\right) \). 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
\( f\left(x\right)=\left(x-a\right)\left(x-b\right) \)
The function \( f \) is defined by the given equation, where a and b are integer constants. If \( f(17)>0 \),\( f(20)<0 \) and \( f(23)>0 \) , what is one possible value of \( a+b \) ?
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