Understanding the Flawed Proof

The video presents a flawed mathematical proof that claims one equals two. It begins by setting A and B as equal real numbers, then multiplies both sides, simplifies, subtracts, and factors the equation. The proof concludes by dividing both sides, leading to the erroneous conclusion that two equals one, highlighting a logical fallacy.

What is the initial assumption made in the proof that one equals two?

• A is greater than B.

• A is less than B.

• A and B are two equal real numbers.

• A and B are two different real numbers.

Tags

CCSS.HSA-REI.B.4B

What operation is performed after multiplying both sides by A?

• Adding B squared to both sides.

• Subtracting B squared from both sides.

• Multiplying both sides by B.

• Dividing both sides by B.

Tags

CCSS.HSA.APR.C.4

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

• A squared minus B squared.

• A plus B times A minus B.

• A times B.

• B squared.

What substitution is made to simplify the equation further?

• Substitute A for B.

• Substitute A for zero.

• Substitute B for zero.

• Substitute B for A.

Tags

CCSS.HSA.REI.A.1

What is the final conclusion of the proof?

• One equals two.

• B is greater than A.

• A equals B.

• A is greater than B.

Tags

CCSS.HSA.REI.A.1