数学题1/3-x-2=1/x-3+4-2x/3x^2-27
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数学题1/3-x-2=1/x-3+4-2x/3x^2-27
1/(3-x) - 2 = 1/(x-3) + (4-2x)/(3x^2-27)
移项:1/(3-x) - 2 - 1/(x-3) - (4-2x)/(3x^2-27) = 0
- 1/(x-3) - 2 - 1/(x-3) - 2 (2-x)/{3(x+3)(x-3)} = 0
2/(x-3) + 2 + 2(2-x)/{3(x+3)(x-3)} = 0
1/(x-3) + 1 + (2-x)/{3(x+3)(x-3)} = 0
{3(x+3) + 3(x+3)(x-3) + (2-x) } / {3(x+3)(x-3)} = 0
{3x+9 + 3x^2-27 + 2-x } / {3(x+3)(x-3)} = 0
{ 3x^2+2x-16 } / {3(x+3)(x-3)} = 0
(3x+8)(x-2) / {3(x+3)(x-3)} = 0
(3x+8)(x-2) = 0
x1=-8/3,x2=2
移项:1/(3-x) - 2 - 1/(x-3) - (4-2x)/(3x^2-27) = 0
- 1/(x-3) - 2 - 1/(x-3) - 2 (2-x)/{3(x+3)(x-3)} = 0
2/(x-3) + 2 + 2(2-x)/{3(x+3)(x-3)} = 0
1/(x-3) + 1 + (2-x)/{3(x+3)(x-3)} = 0
{3(x+3) + 3(x+3)(x-3) + (2-x) } / {3(x+3)(x-3)} = 0
{3x+9 + 3x^2-27 + 2-x } / {3(x+3)(x-3)} = 0
{ 3x^2+2x-16 } / {3(x+3)(x-3)} = 0
(3x+8)(x-2) / {3(x+3)(x-3)} = 0
(3x+8)(x-2) = 0
x1=-8/3,x2=2
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