This is a nice trick question to test your basics. If you've seen these polynomial tricks before don't spoil it. There's a contradiction, can you find it?
Prove \( -1 = 2 \) given that \(4x + 4 = 1 - 2x\)
Add x^2 to both sides
\( x^2 + 4x + 4 = x^2 -2x +1 \)
Complete the square
\( (x + 2)^2 = (x - 1)^2 \)
Take the square root
\( x + 2 = x -1 \)
Subtract x
\( -1 = 2 \)
Hint: P*r***e* L**e*
Prove \( -1 = 2 \) given that \(4x + 4 = 1 - 2x\)
Add x^2 to both sides
\( x^2 + 4x + 4 = x^2 -2x +1 \)
Complete the square
\( (x + 2)^2 = (x - 1)^2 \)
Take the square root
\( x + 2 = x -1 \)
Subtract x
\( -1 = 2 \)
Hint: P*r***e* L**e*