M2 Formative 20250429

Front

What is the value of i^2?

Back

i^2 = -1, where i is the imaginary unit.

Front

If the graph of a quadratic does not touch the x-axis, how many real solutions does it have?

Back

No Real Solution.

Front

Solve the quadratic equation using the quadratic formula: 2x^2 - 9x - 35 = 0.

Back

x = -5/2, x = 7.

Front

What does a discriminant of 0 indicate about the solutions of a quadratic equation?

Back

1 Solution.

Front

Calculate the discriminant for the quadratic equation x^2 + 7x + 13 and determine the nature of the solutions.

Back

Discriminant = -3: 2 non-real, imaginary solutions.

Front

What is the quadratic formula?

Back

Front

What does the discriminant (b^2 - 4ac) tell us about a quadratic equation?

Back

It indicates the nature of the roots: 2 real solutions, 1 real solution, or 2 complex solutions.

Front

If the discriminant is positive, how many real solutions does the quadratic equation have?

Back

2 Real Solutions.

Front

If the discriminant is negative, what can be said about the solutions of the quadratic equation?

Back

There are 2 non-real, imaginary solutions.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.