Quadratic Formula and Discriminant

Front

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

Back

The discriminant is given by b² - 4ac.

Front

What does the discriminant indicate about the roots of a quadratic equation?

Back

The discriminant indicates the number and type of solutions (roots) of the quadratic equation.

Front

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

Back

If the discriminant is positive, the quadratic equation has 2 distinct real roots.

Front

If the discriminant is zero, how many real roots does the quadratic equation have?

Back

If the discriminant is zero, the quadratic equation has exactly 1 real root (a repeated root).

Front

If the discriminant is negative, how many real roots does the quadratic equation have?

Back

If the discriminant is negative, the quadratic equation has no real roots (2 complex roots).

Front

What is the quadratic formula used to solve quadratic equations?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

In the quadratic formula, what does 'a' represent?

Back

'a' represents the coefficient of x² in the quadratic equation ax² + bx + c = 0.

Front

In the quadratic formula, what does 'b' represent?

Back

'b' represents the coefficient of x in the quadratic equation ax² + bx + c = 0.

Front

In the quadratic formula, what does 'c' represent?

Back

'c' represents the constant term in the quadratic equation ax² + bx + c = 0.

Front

How can you determine if a quadratic equation has complex roots?

Back

A quadratic equation has complex roots if the discriminant (b² - 4ac) is negative.