4.5/4.7 Flashcard Review

Front

What is the quadratic formula?

Back

Front

Back

1 solution.

Front

What are the solutions for the equation (2x - 1)(x + 4) = 0?

Back

Front

Solve the equation 5x^2 - 28x + 32 = 0. What are the solutions?

Back

Front

What does it mean if a quadratic equation has no real solutions?

Back

It means that the discriminant (b^2 - 4ac) is less than zero, indicating that the parabola does not intersect the x-axis.

Front

What is the discriminant in a quadratic equation?

Back

Front

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

Back

If the discriminant is positive, there are two distinct real solutions.

Front

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

Back

If the discriminant is zero, there is exactly one real solution (a repeated root).

Front

What is the factored form of a quadratic equation?

Back

Front

How do you solve the equation -2n(5n - 3) = 0?

Back

Set each factor to zero: -2n = 0 gives n = 0, and 5n - 3 = 0 gives n = \frac{3}{5}. So, the solutions are n = 0 and n = \frac{3}{5}.