How to apply the quadratic formula to solve for two real solutions

The video tutorial demonstrates how to solve a quadratic equation using the quadratic formula. It begins by setting the equation to standard form and identifying the coefficients. The discriminant is calculated to determine the nature of the solutions. The quadratic formula is then applied to find the real solutions, which are verified at the end.

What is the first step in solving a quadratic equation using the quadratic formula?

• Graphing the equation

• Setting the equation to standard form

• Finding the roots directly

• Calculating the vertex

What does the discriminant help determine about a quadratic equation?

• The vertex of the parabola

• The nature of the solutions

• The axis of symmetry

• The maximum value of the function

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

• There are two real solutions

• There is one real solution

• There are no solutions

• The solutions are complex

What is the formula used to find the solutions of a quadratic equation?

• x = (B ± sqrt(B^2 - 4AC)) / 2A

• x = (B ± sqrt(4AC - B^2)) / 2A

• x = (-B ± sqrt(4AC - B^2)) / 2A

• x = (-B ± sqrt(B^2 - 4AC)) / 2A

What are the solutions for the quadratic equation 9x^2 - 63x - 162 = 0?

• x = 9 and x = -2

• x = -9 and x = -2

• x = 9 and x = 2

• x = -9 and x = 2