The Quadratic Formula Answers

If the discriminant of a quadratic equation is equal to , which statement describes the roots?

Which equation has the solutions ?

Which equation can be solved using the expression for x?

What is the discriminant of ?

The graph of an equation with a negative discriminant always has which characteristic?

In the derivation of the quadratic formula by completing the square, the equation is created by forming a perfect square trinomial. What is the result of applying the square root property of equality to this equation?

Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x?

If the discriminant of a quadratic equation is equal to , which statement describes the roots?

If x = –3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?

The first two steps in the derivation of the quadratic formula by completing the square are shown below. Which answer choice shows the correct next step?Step 1: Step 2: