When Completing the Square Gets Hard | Part #4

The video tutorial explains solving quadratic equations using the completing the square method. It starts with easy and hard examples, highlighting the challenges of non-factorable problems. The tutorial then introduces the completing the square method, demonstrating it through various examples, including handling fractions and coefficients. The video concludes by suggesting an alternative method for solving quadratics, to be explored in the next video.

What makes an equation easy to solve using inverse operations?

• Having multiple variables

• Having complex numbers

• Being non-factorable

• Having a single variable with simple operations

What is the first step in completing the square?

• Finding the value of C

• Subtracting a constant from both sides

• Adding a constant to both sides

• Factoring the equation

How do you determine the value of C in completing the square?

• C = B / 2 squared

• C = A / 2 squared

• C = B squared

• C = A squared

What is the purpose of creating a perfect square trinomial?

• To eliminate fractions

• To factor the equation

• To rewrite the equation as a binomial squared

• To simplify the equation

Why might completing the square be challenging with fractions?

• Fractions make the equation non-factorable

• Fractions cannot be squared

• Fractions require common denominators

• Fractions make it impossible to find C

What should you do if a quadratic equation has a coefficient in front of the squared term?

• Divide the entire equation by the coefficient

• Ignore the coefficient

• Multiply the entire equation by the coefficient

• Add the coefficient to both sides

How can you handle a quadratic equation with a coefficient using completing the square?

• Add the coefficient to the constant term

• Subtract the coefficient from the variable term

• Ignore the coefficient

• Factor out the coefficient

What is a common mistake when completing the square with a coefficient?

• Forgetting to divide by the coefficient

• Multiplying the coefficient by the constant

• Ignoring the coefficient

• Adding the coefficient to both sides

What is the result of completing the square on a quadratic equation?

• A factored equation

• A linear equation

• A cubic equation

• A binomial squared

What is the advantage of completing the square over factoring?

• It works for all quadratic equations

• It is always easier

• It simplifies complex numbers

• It eliminates the need for inverse operations