1) (x^2-5x)+5-x=0x^2 - 5x + 5 - x = 0x^2 - 6x + 5 = 0(x-5)(x-1) = 0x = 5 or x = 1
2) 3x^2 - 18x + (6-x) = 03x^2 - 18x + 6 - x = 03x^2 - 19x + 6 = 0No real solutions
3) x^2 - 9x - (x-9) = 0x^2 - 9x - x + 9 = 0x^2 - 10x + 9 = 0(x-1)(x-9) = 0x = 1 or x = 9
4) 4x - x^2 - (2x-8) = 04x - x^2 - 2x + 8 = 0-x^2 + 2x + 8 = 0x^2 - 2x - 8 = 0(x-4)(x+2) = 0x = 4 or x = -2
1) (x^2-5x)+5-x=0
x^2 - 5x + 5 - x = 0
x^2 - 6x + 5 = 0
(x-5)(x-1) = 0
x = 5 or x = 1
2) 3x^2 - 18x + (6-x) = 0
3x^2 - 18x + 6 - x = 0
3x^2 - 19x + 6 = 0
No real solutions
3) x^2 - 9x - (x-9) = 0
x^2 - 9x - x + 9 = 0
x^2 - 10x + 9 = 0
(x-1)(x-9) = 0
x = 1 or x = 9
4) 4x - x^2 - (2x-8) = 0
4x - x^2 - 2x + 8 = 0
-x^2 + 2x + 8 = 0
x^2 - 2x - 8 = 0
(x-4)(x+2) = 0
x = 4 or x = -2