Finding the zeros by completing the square when you have a fraction

The video tutorial explains how to solve for X using different methods, focusing on completing the square. It begins with an attempt to factor the equation, which fails, leading to the use of completing the square. The instructor details each step, highlights common mistakes, and provides corrections. The tutorial concludes with the final solution and a promise to cover the quadratic formula in another video.

What is the first step in solving the quadratic equation when factoring is not possible?

• Graph the equation

• Complete the square

• Use the quadratic formula

• Simplify the equation

When completing the square, what must be done if there is a coefficient in front of X^2?

• Ignore it

• Multiply it by the constant term

• Factor it out

• Add it to both sides

What is the purpose of adding and subtracting the same value when completing the square?

• To simplify the equation

• To create a perfect square trinomial

• To eliminate the constant term

• To change the equation

How do you determine the value to add and subtract when completing the square?

• Add the coefficients of X and X^2

• Multiply the constant term by 2

• Divide the linear coefficient by 2 and square it

• Use the quadratic formula

What is the next step after rewriting the equation as a perfect square trinomial?

• Subtract the linear term from both sides

• Take the square root of both sides

• Multiply both sides by 2

• Add the constant term to both sides

What is the final step in solving the equation after taking the square root?

• Divide by the constant term

• Add the square root to both sides

• Isolate X by subtracting or adding terms

• Multiply by the coefficient of X

What is the solution to the equation after completing the square?

• X = 3 ± sqrt(2) / 2

• X = -3 ± sqrt(3) / 2

• X = 3 ± sqrt(3) / 2

• X = -3 ± sqrt(2) / 2