找到你今天要练的题。

\( \frac{1}{3}x^2+58=t+4 \) 
In the given equation, t is a constant. The equation has exactly one real solution. What is the value of t?

\( x^2+\left(\sqrt{k-3}\right)x+33=0 \) 
In the given equation, k is a constant. The equation has exactly one real solution. What is the value of k?

\( 8(x-k)^2-2t+33=0 \) 
In the given equation, k and t are integer constants. The equation has no real solution. What is the greatest possible value of t?

\( x^2+nx=4x-29 \) 
In the given equation, n is an integer constant. The equation has no real solution. What is the greatest possible value of n?

\( y=21x^2+22 \) 
\( y=rx \) 
The given system of equations, where r is a constant, has two real solutions. If r is a negative integer, what is the greatest possible value of r?

\( -9x(6x+p)=24 \) 
In the given equation, p is an integer constant. The equation has no real solution. What is the least possible value of p?

\( (x+k)^2+48=48 \) 
In the given equation, k is a constant. How many distinct real solutions does this equation have?

\( x^2+nx=4x-19 \) 
In the given equation, n is an integer constant. The equation has no real solution. What is the greatest possible value of n?

\( x\left(kx-56\right)=-16 \) 
In the given equation, k is an integer constant. If the equation has no real solution, what is the least possible value of k?

Which quadratic equation has exactly one distinct real solution?

In the xy-plane, a line with equation 2y = c for some constant c intersects a parabola at exactly one point.If the parabola has equation y = -2x²+9x, what is the value of c?

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?