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
\( 2x^2-8x-21=0 \)
One solution to the given equation can be written as \( x=h-\frac{1}{2}\sqrt{k} \), where h and k are integer constants. What is the value of \( h+k \)?
原库参考解析
二次方程・零点与韦达定理进阶
\( (z+4)(z-6)=0 \)
What are all possible solutions to the given equation?
原库参考解析
二次方程・零点与韦达定理进阶
\( 7x-8y=x^2 \)
\( 7x-8y=36 \)
A solution to the given system of equations is \( (x,\ y) \), where x is positive. What is the value of x?
原库参考解析
二次方程・零点与韦达定理挑战
\( 4x^2+x-7=0 \)
What is the greatest solution to the given equation?
原库参考解析
二次方程・零点与韦达定理进阶
\( x^2-5x+2=0 \)
What is one of the solutions to the equation?
原库参考解析
二次方程・零点与韦达定理进阶
\( y=45 \)
\( y=5x^2 \)
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?
原库参考解析
二次方程・零点与韦达定理挑战
\( f(x)=(x−a)(x−b) \)
The function \( f \) is defined by the given equation, where a and b are integer constants. If \( f(39)>0 \), \( f(42)<0 \), and \( f(45)>0 \), which of the following could be the value of \( a+b \)?
原库参考解析
二次方程・零点与韦达定理进阶
\( 3x^2-30x+75=0 \)
What is the solution to the given equation?
原库参考解析
二次方程・零点与韦达定理进阶
\( (z+2)(z-3)=0 \)
What are all possible solutions to the given equation?
原库参考解析
二次方程・零点与韦达定理进阶
\( 3x^2+x-6=0 \)
What is the greatest solution to the given equation?
原库参考解析
二次方程・零点与韦达定理进阶
\( y=x^2+11x+28 \)
\( x+7=10 \)
The solution to the system is \( (x,\ y) \). What is the value of y?
原库参考解析
二次方程・零点与韦达定理挑战
The product of a positive number \( x \) and the number that is 9 more than \( x \)is 90. What is the value of \( x ? \)
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