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
\( 2x^2-8x-7=0 \)
One solution to the given equation can be written as \( \frac{8-\sqrt{k}}{4} \), where k is a constant. What is the value of k?
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二次方程・零点与韦达定理基础
\( y=76 \)
\( y=x^2-5 \)
The graphs of the given equations in the xy-plane intersect at the point (x, y). What is a possible value of x?
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二次方程・零点与韦达定理基础
\( z^2+10z-24=0 \)
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
The function g is defined by \( g\left(x\right)=x^2+9 \) . For which value of x is\( g\left(x\right)=25 \) ?
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二次方程・零点与韦达定理挑战
\( x\left(x+1\right)-56=4x\left(x-7\right) \)
What is the sum of the solutions to the given equation?
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二次方程・零点与韦达定理基础
The product of a positive number x and the number that is 8 more than x is 180. What is the value of x?
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二次方程・零点与韦达定理基础
\( \left(5x+4\right)\left(2x-5\right)=0 \)
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
\( x-29=\left(x-a\right)\left(x-29\right) \)
Which of the following are solutions to the given equation, where a is a constant and \( a>30 \)?
I. \( a \)
II.\( a+1 \)
III. \( 29 \)
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二次方程・零点与韦达定理挑战
h(x) =2(x -4)2 -32
The quadratic function h is defined as shown. In the xy-plane, the graph of y = h(x) intersects the x-axis at the points (0 ,0) and (t , 0), where t is a constant. What is the value of t ?
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二次方程・零点与韦达定理挑战
57x2 +(57b + a )x +ab = 0
In the given equation, a and b are positive constants. The product of the solutions to the given equation is kab, 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
If 3x2 - 18x - 15 = 0, what is the value of x2 - 6x ?
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二次方程・零点与韦达定理挑战
The graph of the function f, defined by \( f\left(x\right)=-\frac{1}{2}\left(x-4\right)^2+10 \) , is shown in the xy-plane above. If the function g (not shown) is defined by g(x) = -x + 10, what is one possible value of a such that f(a) = g(a) ?
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