Solving Quadratic Equations Steps

This video tutorial demonstrates how to solve a quadratic equation by completing the square. It begins with adjusting the leading coefficient to 1, removing decimals, and isolating X variables. The process of completing the square is detailed, followed by solving the equation to find the final solutions. The tutorial emphasizes the importance of each step and provides calculations to ensure accuracy.

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

• Subtract a constant from both sides

• Add a constant to both sides

• Divide all terms by the leading coefficient

• Multiply all terms by the leading coefficient

Why do we divide the leading coefficient by itself?

• To simplify the equation

• To eliminate the x term

• To make the leading coefficient one

• To make the leading coefficient zero

How do you remove a decimal from a fraction?

• Divide the numerator by 10

• Multiply the numerator by 10

• Add a zero to the numerator

• Add a zero to the denominator

What should be done to isolate the x terms on one side?

• Add the constant term to both sides

• Subtract the constant term from both sides

• Multiply both sides by the constant term

• Divide both sides by the constant term

What is the purpose of dividing the coefficient of x by 2?

• To find the roots of the equation

• To eliminate the x term

• To prepare for completing the square

• To simplify the equation

What do you do with the squared term after dividing the coefficient of x by 2?

• Divide it by both sides

• Multiply it by both sides

• Add it to both sides

• Subtract it from both sides

What does the equation become after adding the squared term to both sides?

• A linear equation

• A quadratic equation

• A cubic equation

• A perfect square trinomial

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

• Multiply both sides by a constant

• Subtract a constant from both sides

• Add a constant to both sides

• Take the square root of both sides

How many solutions can you find after taking the square root of both sides?

• One solution

• Two solutions

• Three solutions

• No solution

What is the final step in solving the quadratic equation?

• Add the constant term to both sides

• Subtract the constant term from both sides

• Isolate x by moving terms to the other side

• Multiply both sides by a constant