How to find the solutions of a quadratic using the quadratic formula

The video tutorial explains how to solve quadratic equations using the quadratic formula. It begins by setting the equation to zero and identifying the coefficients A, B, and C. The discriminant is calculated to determine the type of solutions. Finally, the quadratic formula is applied to find the exact solutions, demonstrating the process step-by-step.

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

• Set the equation to zero

• Identify the roots

• Calculate the discriminant

• Find the vertex

In the equation 4x^2 + x - 3 = 0, what is the value of the coefficient 'a'?

• 4

• 1

• -3

• 3

What does the discriminant help determine in a quadratic equation?

• The axis of symmetry

• The type of solutions

• The vertex

• The maximum value

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

• c^2 - 4ab

• 2a + b

• a^2 + b^2

• b^2 - 4ac

What is the quadratic formula used to find?

• The axis of symmetry

• The solutions for x

• The maximum value of the function

• The y-intercept

In the quadratic formula, what does the term under the square root represent?

• The axis of symmetry

• The y-intercept

• The discriminant

• The vertex

What are the solutions for the equation 4x^2 + x - 3 = 0 using the quadratic formula?

• x = 2 and x = -2

• x = 3/4 and x = -1

• x = 0 and x = 1

• x = 1 and x = -1