a)

5x^2 + 1 / 3x = 2x

5x^2 + 1 = 6x^2

5x^2 - 6x^2 = -1

-x^2 = -1

x = ±1

б)

3x^2 - 4 / x = 2x

3x^2 - 4 = 2x^2

3x^2 - 2x^2 = 4

x^2 = 4

x = ±2

в)

x^2 - 1 / x = 2x

x^2 - 1 = 2x^2

x^2 - 2x^2 = 1

-x^2 = 1

x^2 = 1

x ∉ R.

г)

2x + 3/ x-1   -3 = 0

2x+3/ x-1 = 3

2x + 3 = 3(x-1)

2x+3 = 3x - 3

2x-3x = -3-3

-x = -6

x = 6

гЕ)

4x-2/x+3  +6 =0

4x-2/x+3 = -6

4x-2 = -6(x+3)

4x-2 = -6x -18

4x+6x = -18+2

10x = -16

x = - 8/5(правильный ответ)

x ≠ -3

д)

4-3x/1-2x -5 = 0

4-3x/1-2x = 5

4-3x = 5(1-2x)

4-3x = 5-10x

-3x+10x = 5-4

7x = 1

x = 1/7(правильный ответ)

x ≠ 1/2