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