a) x/3 + 1 = 5/6 + x/2 /*6 2x+6=5+3x 6=5+x x=1 b) x + 2 /9 + x-1/3= 1 /*9 x+2+3x-3=9 4x-1=9 4x=10 x=10/4= 2½ c)5+3x /4 - 4x + 9 /3=1 3/4 5+3x /4 - 4x+9 /3= 7/4 /*12 15+9x- 16x- 36=21 21-7x=21 -7x=42 x=-6
a) x/3 + 1 =5/6 +x/2 /*6 2x+6=5+3x -x=-1 /*(-1) x=1 b) 2x-3/4 = 1/2 + x /*4 8x-3=2+4x 4x=5 /:4 x= 1 1/4 lub jeśli (2x-3)/4 (2x-3)/4=1/2+x /*4 2x-3=2+4x -2x=5 /:(-2) x=-2 1/2 c) x+2 /9 + x-1/3 +1 /*9 9x+1+9x-3+9=0 18x=-7 /:18 x= -7/18 lub jeśli (x+2)/9 + (x-1)/3+1=0 /*9 x+2+3x-3+9=0 4x=-8 /:4 x=-2 d) 2x+3/5 = 2-x/3 +x /*15 3(2x+3)=5(2-x)+15x 6x+9=10-5x+15x -4x=1 /:(-4) x=-1/4 e) 3x-5/2 - 5x-1 /10 =0 /*10 5(3x-5)-5x-1=0 15x-25-5x-1=0 10x=26 /:10 x= 2 3/5 f) x/2 = 2/5 (4-x ) -4 /*10 5x=4(4-x)-40 5x=16-4x-40 9x=-24 /:9 x= -2 2/3 g) 2x-3x + 5 /4 =-1/4x-1 /*4 8x-12x+5=-x-4 8x-12x+x=-4-5 -3x=-9 /:(-3) x=3 lub 2x-3x + 5 /4 =-1/4x-1 /*4 8x-12x+5=-4/4x-1 /*(4x-1) 8x(4x-1)-12x(4x-1)+5(4x-1)=-4 32x²-8x-48x²+12+20x-5=-4 -16x²+12x+11=0 Δ=12²-4(-16*11) Δ=848 √Δ=29√7 x1=(-12-29√7)/-32 x2=(-12+29)/-32
