With Fractions, solve using the difference of two squares

The video tutorial explores different methods for solving a quadratic problem, focusing on the square root method and the difference of two squares. The teacher explains the process of factoring by the difference of squares, finding values for A and B, and solving the equations using inverse operations. The tutorial concludes with the final solutions to the quadratic problem, highlighting both positive and negative solutions.

What are the two methods the students used to solve the problem?

• Completing the square and quadratic formula

• Square root method and completing the square

• Square root method and difference of two squares

• Difference of two squares and quadratic formula

What is the key requirement for using the difference of two squares method?

• The quadratic must have a linear term

• The quadratic must be in the form of a squared term minus another squared term

• The quadratic must have integer coefficients

• The quadratic must be factorable by grouping

How do you determine the values of A and B in the equation?

• By adding the coefficients

• By taking the square root of both sides

• By multiplying the coefficients

• By using the quadratic formula

What is the purpose of rewriting the equation in its factored form?

• To simplify the equation

• To apply the zero product property

• To find the vertex of the parabola

• To eliminate fractions

What property is used to solve the equation after factoring?

• Zero product property

• Distributive property

• Commutative property

• Associative property

What is the final solution for X in the equation?

• X = 70/44 and X = -70/44

• X = 33/70 and X = -33/70

• X = 35/2 and X = -35/2

• X = 70/33 and X = -70/33

What mistake did the teacher realize during the solution process?

• Forgetting to factor completely

• Forgetting the negative sign

• Forgetting to simplify the fractions

• Forgetting to apply the zero product property