Understanding the Flawed Proof

The video presents a flawed mathematical proof that claims one equals two. It begins by assuming two equal real numbers, A and B, and proceeds through a series of algebraic manipulations, including multiplication, addition, subtraction, and factoring. The proof concludes with the incorrect statement that two equals one, highlighting a division by zero error as the flaw in the logic.

What is the initial assumption made in the proof?

• A and B are different real numbers.

• A and B are the same real number.

• A is greater than B.

• A is less than B.

Tags

CCSS.HSA-REI.B.4B

What operation is performed after multiplying both sides by A?

• Dividing both sides by A.

• Adding A squared to both sides.

• Multiplying both sides by B.

• Subtracting A squared from both sides.

Tags

CCSS.HSA-REI.B.4B

What is the result of factoring the left side of the equation?

• A squared minus A B.

• 2A squared plus A B.

• 2A times the quantity A minus B.

• A times the quantity A minus B.

Tags

CCSS.HSA.REI.A.1

What is the incorrect conclusion reached in the proof?

• A minus B equals zero.

• Two equals one.

• A squared equals A B.

• A equals B.

Tags

CCSS.6.EE.B.6

What is the flaw in the proof?

• Division by zero.

• Addition of unequal terms.

• Incorrect multiplication.

• Incorrect subtraction.

Tags

CCSS.6.EE.B.6