А
(2x+1)/(2x-1)-(6x-3)/7(2x+1)-8/(2x-1)(2x+1)=0
7(2x-1)(2x+1)≠0⇒x≠1/2,x≠-1/2
(2x+1)(14x+7)-(6x-3)(2x-1)-8*7=0
8x²+14x+14x+7-12x²+6x+6x-3-56=0
-4x²+40x-52=0
x²-10x+13=0
D=100-52=48
x1=(10-4√3)/2=5-2√3 U x2=5+2√3
б
y/(y-3)(y+3) -1/y(y+3) +3/2y(y+3)=0
2y(y-3)(y+3)≠0⇒y≠0,y≠3,y≠-3
y*2y-2(y-3)+3*(y-3)=0
2y²-2y+6+3y-9=0
2y²+y-3=0
D=1+24=25
y1=(-1-5)/4=-1,5U y2=(-1+5)/4=1
в
(2y-1)/7y(2y+1) +8/3(2y-1)(2y+1)=(2y+1)/3y(2y-1)
21y(2y-1)(2y+1)≠0⇒y≠0,y≠1/2,y≠-1/2
(2y-1)(6y+3)+8*7y=(2y+1)*(14y+7)
12y²+6y-6y-3+56y-28y²-14y-14y-7=0
-16y²+28y-10=0
8y²-14y+5=0
D=196-160=36
y1=(14-6)/16=1/2 U y2=(14+6)/16=5/4
г
3/(x-3)(x+3) -1/(x-3)²=3/2x(x+3)
2x(x-3)²(x+3)≠0⇒x≠0,x≠3,x≠-3
6x(x-3)-2x(x+3)=3*(x-3)²
6x²-18x-2x²-6x-3x²+18x-27=0
x²-6x-27=0
x1+x2=6 U x1*x2=-27
x1=-3 не удов усл
x2=9
д
(9x+12)/(x-4)(x²+4x+16) -1/(x²+4x+16)=1/(x-4)
x³-64≠0⇒x³≠64⇒x≠4
9x+12-x+4-x²-4x-16=0
-x²+4x=0
-x(x-4)=0
x=0
x=4 не удов усл
е
3/(2y+1)(4y²-2y+1) -1/(2y+1)=(y+3)/(4y²-2y+1)
8y³+1≠0⇒8y³≠-1⇒y³≠-1/8⇒y≠-1/2
3-4y²+2y-1-2y²-6y-y-3=0
-6y²-5y-1=0
6y+5y+1=0
D=25-24=1
y1=(-5-1)/12=-1/2 не удов усл
y2=(-5+1)/12=-1/3
ж
32/[x²(x-2)-(x-2)]+1/(x-1)(x-2)=1/(x+1)
32/(x-1)(x+1)(x-2)-(x-2)]+1/(x-1)(x-2)=1/(x+1)
(x-1)(x+1)(x-2)≠0⇒x≠1,x≠-1,x≠2
32+x+1-x²+3x-2=0
-x²+4x+31=0
x²-4x-31=0
D=16+124=140
x1=(4-2√35)/2=2-√35 U x2=2+√35
з
1/3(x-4)+1/2(x²+3)+1/[x²(x-4)+3(x-4)]=0
1/3(x-4)+1/2(x²+3)+1/2(x²+3)(x-4)=0
6(x²+3)(x-4)≠0⇒x≠4
2(x²+3)+3(x-4)+6=0
2x²+6+3x-12+6=0
2x²+3x=0
x(2x+3)=0
x=0
x=-1,5