Solving Quadratic Equations

The video tutorial explains how to solve the equation x^2 = 2x. It warns against dividing by variables, which can lead to losing solutions. Instead, it suggests subtracting 2x from both sides and factoring the equation to find the solutions. The correct solutions are x = 0 and x = 2.

What is a common mistake when solving the equation x^2 = 2x?

• Dividing both sides by x

• Subtracting x from both sides

• Multiplying both sides by 2

• Adding 2x to both sides

What should be done first to solve the equation x^2 = 2x correctly?

• Divide both sides by x

• Subtract 2x from both sides

• Multiply both sides by 2

• Add 2x to both sides

What is the common factor in the equation x^2 - 2x = 0?

• 0

• x

• x - 2

• 2

What are the solutions to the equation x^2 = 2x?

• x = 2 and x = 3

• x = 0 and x = 1

• x = 0 and x = 2

• x = 1 and x = 2

How is the solution x = 2 derived from the factored equation?

• By adding 2 to both sides

• By solving x - 2 = 0

• By dividing by 2

• By setting x = 0