Quad Practice [3,4,8,10,19]

Front

What is the general form of a quadratic equation?

Back

Front

What does it mean for a quadratic equation to have real solutions?

Back

A quadratic equation has real solutions if the discriminant (b^2 - 4ac) is greater than or equal to zero.

Front

What is the discriminant of a quadratic equation?

Back

Front

How do you find the roots of a quadratic equation using the quadratic formula?

Back

Front

What is the vertex of a parabola represented by a quadratic equation?

Back

Front

What is the significance of the coefficient 'a' in a quadratic equation?

Back

The coefficient 'a' determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What are complex solutions in the context of quadratic equations?

Back

Complex solutions occur when the discriminant is negative, resulting in solutions that include imaginary numbers.

Front

Back

Front

Back

Front

How do you determine if a quadratic equation has two distinct real solutions?

Back

A quadratic equation has two distinct real solutions if the discriminant is greater than zero (b^2 - 4ac > 0).