1. x²+3 = x(x+1)+2 +2 x²+3 = x²+x+2+2 -x = 4-3 -x = 1 x = -1 2. a)x+2/9+x-1/3=1 2x = 1+1/3-2/9 2x = 4/3-2/9 2x = 10/9 /:2 x = 10/18 x = 5/9 b)2x+3/5=2-x/3+x 2x+x/3-x = 2-3/5 /*15 30x+5x-15x = 30-9 20x = 21 x = 21/20 c)3x-5/2-5x-1/10=0 3x-5x = 1/10+5/2 -2x = 26/10 /: -2 x = -26/20 x = -13/10 d)x/2=2/5(4-x)-4 x/2 = 8/5-2/5x-4 /*10 5x = 16-4x-40 5x+4x = 16-40 9x = -24 x = -24/9 x = -8/3 e)2x-1/5-x-2/2=0,7x 2x-x-0,7x = 1/5+1 0,3x = 6/5 /:0,3 x = 60/15 x = 4 f)2x-3x+5/4=-1/4x-1 -x+1/4x = -1-5/4 -3/4x = -9/4 /:-3/4 x = 9/3 x = 3
1. Oblicz wartość x a) wartość wyrażenia x²+3 jest o 2 większa od wartości wyrażenia x(x+1)+2 x²+3-2=x(x+1)+2 x²+1=x²+x+2 x²-x²-x=2-1 -x=1 /*-1 x=1 2.Rozwiąż równania. a)x+2/9+x-1/3=1 /*9 9x+2+9x-3=9 18x=10 /18 x=10/18 = 5/9 b)2x+3/5=2-x/3+x /*15 30x+9=30-5x+15x 20x=21 /20 x= 1 1/20 c)3x-5/2-5x-1/10=0 /*10 30x-25-50x-1=0 -20x=26 /-20 x= -26/20 = -1 3/10 d)x/2=2/5(4-x)-4 /*10 5x=4(4-x)-40 5x=16-4x-40 9x=-24 /9 x = - 2 2/3 e)2x-1/5-(x-2)/2=0,7x /*10 20x-2-5x+10=7x 8x=-8 /8 x=-1 f)2x-3x+5/4=-1/4x-1 /*4 8x-12x+5=-x-4 -3x=-9 /-3 x=3
