找到你今天要练的题。

The solutions to \( x^2+6x+6=0 \) are r and s, where \( r<s \). The solutions to \( x^2+10x+13=0 \) are t and u, where \( t<u \). The solutions to \( x^2+16x+c=0 \), where c is a constant, are \( r+u \) and \( s+t \). What is the value of c?

\( \left(2x-4\right)\left(x-8\right)\left(x-9\right)=0 \) 
What is the sum of the solutions to the equation?

\( y=-8x+26 \) 
\( y=2x^2+16 \) 
The graphs of the equations in the given system of equations intersect at the point \( \left(a,\ b\right) \) in the xy-plane. What is a possible value of \( a \)?

\( 9x^2+30x+q=43 \) 
In the given equation, \( q \) is a constant. One solution to the given equation is \( \frac{-5+\sqrt{14}}{3} \). What is the value of \( q \)?

\( x^2-2=23 \) 
Which value is a solution to the given equation?

\( f\left(x\right)=\left(x-a\right)\left(x-b\right) \) 
The function \( f \) is defined by the given equation, where a and b are integer constants. If \( f(32)>0 \), \( f(35)<0 \), and \( f(38)>0 \), which of the following could be the value of \( a+b \)?

\( x^2-11x-3=0 \) 
What is a solution to the given equation?

\( x^2+y=21 \) 
\( -x+y=1 \) 
The solutions to the given system of equations are of the form (x, y). What is a possible value of  x ?

\( w^2+8w-28=0 \) 
Which of the following is a solution to the given equation?

\( x(x-13)(x+6)(x-5)^2=0 \)   
What is the greatest solution to the given equation?  

\( y-x=47 \) 
\( y=x^2-45x \) 
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 \( y \)?

\( 12(w-a)(w+8)=4(w+8) \) 
In the given equation, \( a \) is a constant. The sum of the solution is \( \frac{34}{3} \). What is the value of \( a \)?