Question

Oblicz:
1. (2x-5)(x+1)-2=(1-x)(8-2x)+2x
2. (x-3)(x+3)+10=(x-2)(x-2)+x
3. (2x+3)(2x+3)+1=4(x-2)(x+1)-5x-8
4. (2x-1)(2x+1)+6=4(x-4)(x-4)+3x
5. (4x+3)(4x+3)+10=(4x-1)(4x+1)+4x

Answer 1

1. (2x-5)(x+1)-2=(1-x)(8-2x)+2x
2x² + 2x - 5x - 5 - 2 = 8 - 2x - 8x + 2x² + 2x 
-3x - 7 = 8 - 8x 
5x = 15
x= 3

2.  (x-3)(x+3)+10=(x-2)(x-2)+x
x² + 3x -3x - 9 + 10 = x² - 2x -2x +4 + x
1 = -3x + 4 
3x = 3
x= 1

3.  (2x+3)(2x+3)+1=4(x-2)(x+1)-5x-8
4x² + 6x + 6x + 9 + 1 = 4 ( x² + x - 2x - 2) - 5x - 8
4x² + 6x + 6x + 9 + 1 = 4x² + 4x - 8x - 8 - 5x - 8
12x + 10 = -9x - 16 
21x = -26
x= -26/21 

4.  (2x-1)(2x+1)+6=4(x-4)(x-4)+3x
4x² + 2x -2x - 1 + 6 = 4 (x² - 4x - 4x + 16) + 3x
4x² + 5 = 4x² - 16x - 16x + 64 + 3x
4x² + 5 = 4x² - 32x + 64 + 3x'
4x² + 5 = 4x² - 29x + 64
29x = 59
x = 59/29 

5. (4x+3)(4x+3)+10=(4x-1)(4x+1)+4x 
16x² + 12x + 12x + 9 + 10 = 16x² + 4x - 4x -1 + 4x 
24x + 19 = -1 + 4x 
20x= - 20
x= -1