1
(5x-x²/2=(x²+3x)/5
5(5x-x²)=2(x²+3x)
25x-5x²=2x²+6x
2x²+6x-25x+5x²=0
7x²-19x=0
x(7x-19)=0
x=0
7x-19=0
x=2 5/7
2
(5x-2)/3=(4-10x)²/2
2(5x-2)=3(4-10x)²
48-240x+300x²-10x+4=0
300x²-250x+52=0
D=62500-62400=100
x1=(250-10)/600=0,4
x2=(250+10)/600=13/30
3
(3x-2)/(x-3)=(x+2)/(x+3)
ОЗ (x-3)(x+3)≠0⇒x≠3,x≠-3
(3x-2)(x+3)=(x+2)(x-3)
3x²+9x-2x-6-x²+3x-2x+6=0
2x²+8x=0
2x(x+4)=0
x=0
x+4=0
x=-4
4
(2x+5)/(x-2)=(9x-18)/(8x+20)
ОЗ (x-2)(8x+20)≠0⇒x≠2,x≠-2,5
(2x+5)(8x+20)=(9x-18)(x-2)
16x²+40x+40x+100-9x²+18x+18x-36=0
7x²+116x+64=0
D=13456-1792=11664
√√D=108
x1=(-116-108)/14=16
x2=(-116+108)/14=-4/7