Discriminant

Front

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

Back

The equation has two real solutions.

Front

If a function has a discriminant of 25, how many solutions does it have?

Back

2 solutions.

Front

What is the formula for the discriminant of a quadratic equation?

Back

b² - 4ac

Front

Calculate the discriminant for the equation x² + 8x + 16 = 0.

Back

0

Front

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

Back

The equation has two non-real solutions or no real solution.

Front

What is the significance of the discriminant in determining the nature of the roots of a quadratic equation?

Back

It helps to identify whether the roots are real and distinct, real and equal, or non-real.

Front

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

Back

There is one real solution (a repeated root).

Front

How can you determine if a quadratic equation has complex solutions using the discriminant?

Back

If the discriminant is negative, the solutions are complex.

Front

What is the discriminant of the quadratic equation 2x² + 4x + 2 = 0?

Back

0 (the discriminant is b² - 4ac = 4 - 16 = 0).

Front

For the quadratic equation ax² + bx + c = 0, what does 'b' represent in the discriminant formula?

Back

'b' is the coefficient of the linear term.