Question

0. (x+1)²=x²
1. (x+6)²=(x-2)²
2. 2x-x²=1-(x+3)²

Answer 1

0.

(x+1)² = x²

x²+2x+1 = x²

x²-x²+2x = -1

2x = -1   /:2

x = -1/2

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1.

(x+6)² = (x-2)²

x²+12x+36 = x²-4x+4

x²-x²+12x+4x = 4-36

16x = -32  /:16

x = -2

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2.

2x-x² = 1-(x+3)²

2x-x² = 1-(x²+6x+9)

2x-x² = 1-x²-6x-9

-x²+x²+2x+6x = -8

8x = -8  /:8

x = -1

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(a+b)² = a²+2ab+b²

(a-b)² = a²-2ab+b²