Question

Q. You have to find the error
Proving 1=2
Suppose
X=Y
X²=XY(Multiplying both sides by X)
X²-Y²=XY-Y²(Subtracting y² from both sides
(X+Y)(X-Y)=Y(X-Y)
(X+X)=Y
2X=Y
2X=X(As we have taken X=Y before)
2=1​

Answer 1

Answer:

This is a typical question. In such questions, we don't cancel out 'X' from both sides and the only value of X, that satisfies the equation, is 0.

Step-by-step explanation:

X=Y

X²=XY

X²-Y²=XY-Y²

(X+Y)(X-Y)=Y(X-Y)

X+X=Y

2X=Y

2X=X

2X-X=0

X=0