Quadratic Equations and Their Solutions

The video tutorial demonstrates solving a quadratic equation using both the quadratic formula and factoring. Initially, the equation is set up in the standard form, and the quadratic formula is applied to find the solutions. The process involves substitution and simplification, revealing that the solutions are real and rational. The tutorial then verifies these solutions by factoring the equation, confirming the results. The video concludes by emphasizing the versatility of the quadratic formula in solving various types of quadratic equations.

What is the quadratic equation given in the example?

• 36x^2 + 49 = 0

• 49x^2 - 36 = 0

• 36x^2 - 49 = 0

• 49x^2 + 36 = 0

What are the values of A, B, and C in the quadratic equation?

• A = 49, B = 0, C = -36

• A = 36, B = 1, C = -49

• A = 36, B = 0, C = -49

• A = 49, B = 1, C = -36

What is the result of the expression -4 * 49 * -36?

• 5,056

• 8,056

• 6,056

• 7,056

What is the simplified form of the fraction 84/98?

• 14/12

• 12/14

• 7/6

• 6/7

What is the square root of 7,056?

• 64

• 84

• 74

• 94

What is the factored form of 49x^2 - 36?

• (7x + 6)(7x + 6)

• (6x - 7)(6x - 7)

• (6x + 7)(6x - 7)

• (7x + 6)(7x - 6)

What are the solutions obtained by factoring the quadratic equation?

• x = 7/7 or x = -7/7

• x = 6/6 or x = -6/6

• x = 7/6 or x = -7/6

• x = 6/7 or x = -6/7

What is the significance of having two real rational solutions?

• The equation is factorable

• The equation has no solutions

• The equation is not factorable

• The equation has complex solutions

Which method is preferred if the quadratic equation is factorable?

• Graphing

• Quadratic Formula

• Factoring

• Completing the Square

What type of solutions can the quadratic formula solve for?

• Only Irrational and Complex

• Only Real and Rational

• Real, Rational, Irrational, Complex

• Only Real and Complex