Learn how to complete the square by factoring out a term

The video tutorial explains how to solve quadratic equations by completing the square, focusing on cases where the leading coefficient is not one. The instructor demonstrates factoring out the coefficient, adjusting terms, and solving the equation step-by-step. Key concepts include factoring, adding terms, and simplifying equations. The tutorial concludes with a review of the process and the final solution.

Why is it necessary for 'a' to be equal to 1 when completing the square?

• To simplify the equation

• To ensure the trinomial is a perfect square

• To eliminate fractions

• To make the equation linear

What is the first step when 'a' is not equal to 1 in a quadratic equation?

• Factor out the coefficient of x^2

• Factor out the coefficient of x

• Multiply the equation by 2

• Add a constant to both sides

When adding a term inside the parentheses, why must it be multiplied by the factored out coefficient?

• To eliminate the coefficient

• To simplify the equation

• To maintain the equation's balance

• To make the equation a perfect square

How do you simplify the fraction 50/4?

• Multiply both numerator and denominator by 2

• Subtract 2 from both numerator and denominator

• Divide both numerator and denominator by 2

• Add 2 to both numerator and denominator

What is the result of adding -10/2 and 25/2?

• 15/2

• 35/2

• 5/2

• 25/2

What is the next step after forming a perfect square trinomial?

• Multiply both sides by 2

• Take the square root of both sides

• Subtract a constant from both sides

• Add a constant to both sides

What is the final form of the solution for x in the equation?

• x = 5 ± sqrt(15) / 4

• x = 5 ± sqrt(15) / 2

• x = 5 ± sqrt(15) / 3

• x = 5 ± sqrt(15) / 5