Solving for X using the Completeness Method

The video tutorial teaches how to solve for X using a method involving moving constants, factoring, and completing the square. The process includes moving the constant to the other side, factoring out and dividing, completing the square, and finally solving for X. The tutorial provides a step-by-step guide to ensure understanding and application of the method.

What is the first step in solving for X using the completeness method?

• Add the constant to both sides

• Take the square root of both sides

• Move the constant to the other side

• Divide both sides by the coefficient of x

After moving the constant to the other side, what should you do next?

• Add the constant to both sides

• Factor out a common factor

• Multiply both sides by the coefficient of x

• Take the square root of both sides

What do you do with the coefficient of x when completing the square?

• Subtract it from both sides

• Add it to both sides

• Divide it by 2 and square it

• Multiply it by 2

What is the purpose of adding the squared term to both sides of the equation?

• To factor the equation

• To simplify the equation

• To eliminate the constant

• To balance the equation

Once the equation is factored, what is the next step?

• Add the constant to both sides

• Divide both sides by the coefficient of the squared term

• Multiply both sides by the coefficient of x

• Subtract the constant from both sides

What operation is performed after dividing both sides by the coefficient of the squared term?

• Subtract the constant from both sides

• Multiply both sides by the coefficient of x

• Take the square root of both sides

• Add the constant to both sides

How do you handle the square root when solving for X?

• Ignore the negative root

• Only consider the negative root

• Only consider the positive root

• Consider both positive and negative roots

What is the final step in solving for X?

• Add the constant to both sides

• Multiply both sides by the coefficient of x

• Divide both sides by the coefficient of x

• Subtract the constant from both sides

What are the two possible solutions for X after solving the equation?

• X equals 1 plus or minus the square root of 2.5

• X equals negative 1 plus or minus the square root of 2.5

• X equals the negative square root of the constant

• X equals the square root of the constant

Why is it important to consider both positive and negative roots when solving for X?

• To balance the equation

• To eliminate the constant

• To simplify the equation

• To ensure all possible solutions are found