a)2(x+3)-(5-x)+2=3-(x-1) 2x+6-5+x+2 = 3-x+1 x+3=-x+4 /+x -3 2x= 1 x=1/2 (0,5) b)3(x-4)-2(3-2x)=-(3x-1)-(1-x) 3x-12-6+4x = -3x+1-1+x 7x-18 = -2x /+2x +18 9x = 18 /:2 x = 2 c)2x-(x+4)-1=2-3(1-x)+3x 2x-x-4-1 = 2-3+3x+3x x-5 = -1 +6x 5x = -4 x = -4/5 d)1-2(x-3)-(3x+5)=-x-(2x-1)+3 1-2x+6-3x-5 = -x-2x+1+3 2-5x = 4-3x 2x = -2 x = -1 e)x/3-x/2=⅚ co jest po znaku "="?? f)x+1/2-x-1/4=1½ x redukują się, równanie niewłaściwe g)(x-1)²+(2+x)²=(x-3)²+x(x+3) x²-2x+1+4+4x+x² = x²-6x+9+x²+3x 2x²+2x+5 = 2x²-3x+9 5x = 4 x = 1 i 1/4 h)2x+3=x-5 /-x -3 x = -8 i)x+7=22 /-7 x = 15
a) 2(x+3)-(5-x)+2=3-(x-1) 2x+6-5+x+2=3-x+1 2x+x+x=3+1-6+5-2 4x=1 x=¼ b) 3(x-4)-2(3-2x)=-(3x-1)-(1-x) 3x-12-6+4x=-3x+1-1+x 3x+4x+3x-x=1-1+12+6 9x=18 x=2 c) 2x-(x+4)-1=2-3(1-x)+3x 2x-x-4-1=2-3+3x+3x 2x-x-3x-3x=2-3+4+1 -5x=4 x=-⅘ d) 1-2(x-3)-(3x+5)=-x-(2x-1)+3 1-2x+6-3x-5=-x-2x+1+3 -2x-3x+x+2x=1+3-1-6+5 -2x=2 x=-1 e) x/3-x/2=⅚ 2x-3x=⅚ -x=⅚ x=-⅚ f) x+1/2-x-1/4=1½ x-x=1½-½+¼ 0≠1¼ g) (x-1)²+(2+x)²=(x-3)²+x(x+3) x²-2x+1+4+4x+x²=x²-6x+9+x²+3x x²+x²-x²-x²-2x+4x+6x-3x=9-1-4 5x=4 x=⅘ h) 2x+3=x-5 2x-x=-5-3 x=-8 i) x+7=22 x=22-7 x=15