d) (x+2)₊(y₊x)(y₋x)=y(y₋1) x₊2÷2₋x₋y÷=x₊2y÷4₊1 x²₋4x₊4₊y²₋x²=y²₋y 2x₋x₊y=x₊2y₊4 4₋4x=₋z y₊4=2 ₋4₊4x₊4=2 4x=2 x=½ y=₋2 e)(x-2)²-(y-1)²=(x-y)(x+y)+5 2x-2y+y²=y²-4 2x-2y=-4 2y-4x=2 -2x=-2 x=1 y=3 f) y+x²-8=x+4-4x+x² 3x=1 y-8=4-3x 3x=1 y-8=3 y=11 x=⅓ g)x²-6x+9-x²+25=2y+48 x+y-x+y=4 34-6x=2y+48 2y=4 34-6x=52 -6x=18 x=-3 y=2
d) (x-2)²+ (y+x)(y-x)=y(y-1) x+2/2 - x-y/4 = x+2y/4 +1 /*4 x²-4x+4+y²-x²=y²-y 2x+4-x+y=x+2y+4 -4x+y=-4 2x-y=4-4 -2x=-4 /:(-2) x=2 2x-y=0 2*2-y=0 -y=-4 /:(-1) y=4 e) (x-2)²-(y-1)²=(x-y)(x+y)+5 2(x-y)+y²=(y-2√2)(y+2√2) x²-4x+4-y²+2y-1=x²-y²+5 2x-2y+y²=y²-8 -4x+2y=5+1-4 2x-2y=-8 -2x=-6 /:(-2) x=3 2x-2y=-8 2*3-2y=-8 -2y=-8-6 -2y=-14 y=7 f) y+x²-8=x+(2-x)² 3x=1 y+x²-8=x+4-4x+x² 3x=1 y-x+4x=4+8 3x=1 y+3x=12 x=⅓ y+3*⅓=12 y=12-1 y=11 g) (x-3)²-(x+5)(x-5)=2y+48 x+y/2 - x-y/2 = 2 /*2 x²-6x+9-x²+25=2y+48 x+y-x+y=4 -6x-2y=48-25-9 2y=4 -6x=18 /:(-6) x=-3 -6x-2y=14 -6*(-3) -2y=14 18-2y=14 -2y=14-18 -2y=-4 y=2 h) (2x+3)²-9y=8x+13+4x² x+y/3= x-y- 5/9 /*9 4x²+12x+9-9y=8x+13+4x² 3x+3y=9x-9y-5 4x-9y=4 /*3 -6x+12y=-5 /*2 12x-27y=12 -12x+24y=-10 -3y=2 y=-2/3 12x-27*(-2/3)=12 12x=12-18 12x=-6 x=-½