Quadratic Equations and Their Solutions

The video tutorial explains how to solve the quadratic equation 6x^2 - x - 15 = 0 using the quadratic formula. It begins by identifying the coefficients a, b, and c, and then substitutes these values into the formula. The tutorial proceeds to simplify the equation, discussing the discriminant and verifying that 361 is a perfect square. It calculates the two solutions, 5/3 and -3/2, and concludes by noting that the equation is factorable. The video ends with a preview of more examples in the next video.

What are the coefficients A, B, and C in the quadratic equation 6x^2 - x - 15 = 0?

• A=-6, B=1, C=15

• A=6, B=1, C=15

• A=1, B=6, C=-15

• A=6, B=-1, C=-15

Which formula is used to solve the quadratic equation 6x^2 - x - 15 = 0?

• Cubic formula

• Linear formula

• Exponential formula

• Quadratic formula

What is the first step after identifying the coefficients in solving a quadratic equation?

• Factor the equation

• Graph the equation

• Substitute into the quadratic formula

• Perform calculations

What is the term used for the number under the square root in the quadratic formula?

• Constant

• Discriminant

• Coefficient

• Variable

What is the value of the discriminant in the equation 6x^2 - x - 15 = 0?

• 360

• 361

• 19

• 12

What is the square root of 361?

• 18

• 19

• 20

• 21

How many solutions does the quadratic equation 6x^2 - x - 15 = 0 have?

• One

• Two

• Three

• None

What is one of the solutions for the equation 6x^2 - x - 15 = 0?

• -5/3

• 3/2

• 5/3

• -3/2

What is the other solution for the equation 6x^2 - x - 15 = 0?

• -3/2

• 3/2

• -5/3

• 5/3

What does having two real rational solutions indicate about the original quadratic equation?

• It is not factorable

• It is factorable

• It has no solutions

• It has complex solutions