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
The function f is defined as f (x) = (x − a )(x − b) , where a and b are constants and a ≠ b. If f(8）= f(15）= 0, what is the value of f(20） ?
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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 7 less than x is equal to 228. What is the value of x ?
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二次方程・零点与韦达定理进阶
y = 5x
y = x2 -36
A solution to the given system of equations is (x, y), where x >0. What is the value of x?
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二次方程・零点与韦达定理进阶
If \( 4x^2-32x-40=0 \) , what is the value of \( x^2-8x \) ?
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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 7 less than x is equal to 18. What is the value of x?
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二次方程・零点与韦达定理挑战
The function \( f \)f is defined by\( f\left(x\right)=ax^2+bx+c \) , where a, b, and c are constants. The graph of \( y=f\left(x\right) \) in the xy-plane passes through the points \( \left(8,0\right) \) and\( \left(-5,0\right) \). If a is an integer greater than 1, which of the following could be the value of a+b?
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二次方程・零点与韦达定理挑战
For the quadratic function f, the table shows three values of x and their corresponding values of f(x). Which equation defines f?
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二次方程・零点与韦达定理进阶
A rectangle has a width of n yards and a length of (n+4) yards. If the rectangle has an area of 285 square yards, what is the value of n?
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二次方程・零点与韦达定理挑战
\( 3x^2+7x-5=0 \)
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
\( 27x^2+\left(27s+r\right)x+rs=0 \)
In the given equation, r and s are positive constants. The product of the solutions to the given equation is kr s, 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
The product of a positive number x and the number that is 7 more than x is 18. What is the value of x?
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二次方程・零点与韦达定理进阶
\( 8x^2+13x=6 \)
What is the positive solution to the given equation?
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