找到你今天要练的题。

-9x² + 30x  + c = 0

In the given equation, c is a constant. The equation has exactly one solution. What is the value of c ?

y =2x² -21x + 64
y =3x + a 
In the given system of equations, a is a constant. The graphs of the equations in the given system intersect at exactly one point, (x , y ), in the xy-plane. What is the value of x ?

y =x² + 3x - 7
y -5x + 8 = 0
How many solutions are there to the system of equations above?

64x² + bx + 25 = 0

In the given equation, b is a constant. For which of the following values of b will the equation have more than one real solution?

y = -1.50
y =x² + 8x + a
In the given system of equations, a is a positive constant. The system has exactly one distinct real solution. What is the value of a ?

In the xy-plane, the graph of the equation y =-x² + 9x -100 intersects the line y = c at exactly one point. What is the value of c ?

In the xy-plane, a line with equation 2y = 4.5 intersects a parabola at exactly one point. If the parabola has equation y = -4x² +bx , where b is a positive constant, what is the value of b ?

\( x^2-12x+27=0 \) 
How many distinct real solutions does the given equation have?

5x² + 10x + 16 = 0How many distinct real solutions does the given equation have?

\( f\left(x\right)=3x^2+36x+109 \) 
The function g is defined by g(x)=f(x+7). What is the minimum value of g(x)?

At what value of x does the graph of \( y=x^2+18x-23 \) reach its minimum in the \( xy \)-plane?

The function \( f\left(x\right)=\frac{1}{9}\left(x-6\right)^2+3 \) gives a toy car's height above the ground \( f\left(x\right) \), in inches, \( x \) seconds after it started moving on an elevated track, where \( 0\le x\le10 \). Which of the following is the best interpretation of the vertex of the graph of \( y=f\left(x\right) \) in the \( xy \)-plane?