How many and what kind of solutions does $-2x^2+7x=0$ have?

A parabola with real coefficients never meets the x-axis. What must be true of its discriminant?

For what value of c does $2x^2-12x+c=0$ have exactly one real solution?

The discriminant of $x^2+6x+6=0$ is 12. What does that tell you about the solutions?

For $-x^2-6x+5=0$ a student computed $b^2-4ac$ as 36 - 4(1)(5) = 16 and concluded two irrational solutions. What is the correct discriminant and conclusion?

The discriminant of $3x^2+7x-7=0$ is 133. What does that tell you about the solutions?

The graph of $y=a{x}^2+bx+c$, with real coefficients, opens upward and has its vertex below the x-axis. What must be true of its discriminant?

The graph of $y=a{x}^2+bx+c$, with real coefficients, opens downward and has its vertex at (2, -3). What must be true of its discriminant?

How many and what kind of solutions does $2x^2-6x-3=0$ have?

For $-x^2+4x-2=0$ a student computed $b^2-4ac$ as 16 - 4(1)(-2) = 24 and concluded two irrational solutions. What is the correct discriminant and conclusion?

A parabola with real coefficients lies entirely below the x-axis. What must be true of its discriminant?

A parabola with real coefficients has two distinct x-intercepts. What must be true of its discriminant?

How many and what kind of solutions does $x^2+x-6=0$ have?

The discriminant of $x^2+3x-7=0$ is 37. What does that tell you about the solutions?

How many and what kind of solutions does $3x^2-4x+1=0$ have?

How many and what kind of solutions does $-2x^2-5x=0$ have?

For $-x^2-6x-4=0$ a student computed $b^2-4ac$ as 36 - 4(1)(-4) = 52 and concluded two irrational solutions. What is the correct discriminant and conclusion?

How many and what kind of solutions does $3x^2-3x-2=0$ have?

For what value of c does $x^2+4x+c=0$ have exactly one real solution?

How many and what kind of solutions does $-x^2-6x+5=0$ have?

The discriminant of $3x^2-5x-7=0$ is 109. What does that tell you about the solutions?

How many and what kind of solutions does $3x^2-7x=0$ have?

The discriminant of $3x^2+6x-7=0$ is 120. What does that tell you about the solutions?

The discriminant of a quadratic equation with real coefficients is negative. How many times does the graph of the related function meet the x-axis?

For what value of c does $2x^2+4x+c=0$ have exactly one real solution?

The discriminant of $x^2+5x-6=0$ is 49. What does that tell you about the solutions?

How many and what kind of solutions does $-x^2-4=0$ have?

For what value of c does $x^2-12x+c=0$ have exactly one real solution?

How many and what kind of solutions does $x^2-6x-6=0$ have?

For $-x^2-4x-9=0$ a student computed $b^2-4ac$ as 16 - 4(1)(-9) = 52 and concluded two irrational solutions. What is the correct discriminant and conclusion?

A parabola with real coefficients touches the x-axis at exactly one point and does not cross it. What must be true of its discriminant?

How many and what kind of solutions does $-x^2+2x-4=0$ have?

For what value of c does $x^2+6x+c=0$ have exactly one real solution?

For what value of c does $x^2-8x+c=0$ have exactly one real solution?

For $-x^2-6x-2=0$ a student computed $b^2-4ac$ as 36 - 4(1)(-2) = 44 and concluded two irrational solutions. What is the correct discriminant and conclusion?

How many and what kind of solutions does $3x^2-2x-3=0$ have?

The discriminant of $2x^2+7x-6=0$ is 97. What does that tell you about the solutions?

How many and what kind of solutions does $x^2+3x-2=0$ have?

How many and what kind of solutions does $3x^2+4x-3=0$ have?

For $-x^2+6x-9=0$ a student computed $b^2-4ac$ as 36 - 4(1)(-9) = 72 and concluded two irrational solutions. What is the correct discriminant and conclusion?