Solve a Rational Equation with two solutions

The video tutorial explains how to solve quadratic equations by setting them to zero and using methods like factoring, completing the square, or the quadratic formula. It emphasizes the importance of verifying solutions to ensure they are not extraneous.

What is the first step in solving a quadratic equation?

• Add all terms to one side

• Divide by the highest coefficient

• Multiply all terms by the denominator

• Set the equation equal to zero

Which of the following is NOT a method to solve quadratic equations?

• Completing the square

• Graphing the equation

• Factoring

• Using the quadratic formula

What are the factors of the quadratic equation X^2 - 8X + 12 = 0?

• (X - 5)(X - 2)

• (X - 6)(X - 3)

• (X - 6)(X - 2)

• (X - 4)(X - 3)

What are the solutions for the equation X^2 - 8X + 12 = 0?

• X = 6 and X = 3

• X = 4 and X = 3

• X = 5 and X = 2

• X = 6 and X = 2

Why is it important to check for extraneous solutions?

• To verify that all solutions satisfy the original equation

• To determine the number of solutions

• To ensure all solutions are real numbers

• To confirm the equation is factorable