找到你今天要练的题。

The quadratic function \( ax^2+100x+c \) has a factor of \( px+q \). \( p \) and \( q \) are positive constants. What is the maximal value of \( ac \)?

y = x² + 18x + 8
y = x + 8
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?

-9x(x＋9) = 90
One solution to the given equation can be written as \( x=-\frac{s+\sqrt{t}}{2} \) , where s and t are positive integers. What is the value of \( \frac{s}{t} \) ? 

44x² + (44b + 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?

The solutions to \( x \)\( ^{2} \)  - 3x - 5 = 0 are\( \frac{3-\sqrt{p}}{2} \)  and\( \frac{3+\sqrt{p}}{2} \)  . If the solutions to \( x \)\( ^{2} \)  - 11x + c = 0, where c is a constant ,are \( \frac{11-\sqrt{p}}{2} \) and \( \frac{11+\sqrt{p}}{2} \)  , what is the value of c?

\( \left(x-k\right)^2=\left(k-4a\right)\left(x-k\right) \)
In the given equation, a and k are constants, where k > 4a. The sum of the solutions to the equation is 3k + 31. What is the value of a?

\( y=\left(x-7\right)\left(x+9\right) \) 
Which table gives four values of x and the corresponding values of y for the given quadratic equation?

The product of a positive number x and the number that is 15 less than x is equal to 286. What is the value of x ?

The function  f  is defined by \( f\left(x\right)=x^2+x+61 \) . What is the value of \( f\left(2\right) \)\( f\left(2\right) \)  ?

The product of a positive number x and the number that is 6 more than x is 216. What is the value of x?

\( 7x^2\left(4x-13\right)\left(4x-u\right)=0 \) 
In the given equation, u is a positive constant. The sum of the solutions to the equation is 9. What is the value of u?

\( x^2+y+7=7 \) 
\( 4x+4-y=0 \) 
The solution to the given system of equations is (x, y). What is the value of x?