Solving by completing the square and factoring out a three

The video tutorial explains how to solve quadratic equations by completing the square. It covers creating a perfect square trinomial, finding the value of C, adjusting for multiplication, and solving the equation using inverse operations. The process involves factoring, handling fractions, and ensuring correct operations on both sides of the equation.

What is the first step in solving a quadratic equation by completing the square?

• Factor out the coefficient of x

• Create a perfect square trinomial

• Move the constant to the left side

• Multiply both sides by 2

Why is it necessary to factor out the coefficient of the quadratic term?

• To make the coefficient of x equal to 1

• To make the coefficient of x^2 equal to 1

• To eliminate fractions

• To simplify the equation

What is the value of B/2 squared when B is 2/3?

• 1/9

• 4/9

• 1/3

• 2/3

How do you handle a double denominator when dividing fractions?

• Add the fractions

• Multiply by the reciprocal

• Subtract the fractions

• Divide by the numerator

What operation is used to isolate the variable after forming the perfect square trinomial?

• Division

• Multiplication

• Subtraction

• Addition

What is the result of taking the square root of 4/9?

• 3/2

• 4/3

• 1/3

• 2/3

What is the final step in solving the equation after isolating the variable?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract the constant from both sides

• Add the constant to both sides