Question

giải phương trình:

a, 2x-5/x+5=3
b, 2/x-1=6/x+1
c, 2x+1/x-1=5(x-1)/x+1
d, x/x-1 - 2x/x²-1=0
e, 1/x-2 + 3=x-3/2-x
f, x+1/x-2 + x-1/x+2= 2(x²+2)/x²-4
g, x+2/x-2 + 1/x+2=x(x-5)/x²-4
h, 1/x+1 - 5/x+2=15/(x+1)(2-x)
i, x-1/x+2 - x/x-2= 5x-2/4-x²

 

Answer 1

a,\(2x-5=3x+15\)

\(3x-2x=-5-15\)

\(x=-20\)

Answer 2

b,\(\frac{2}{x-1}=\frac{6}{x+1}\)

\(2x+2=6x-6\)

\(4x=8\)

\(x=2\)

Answer 3

\(\frac{2x+1}{x-1}=\frac{5.\left(x-1\right)}{x+1}\)

\(\frac{2x+1}{x-1}=\frac{5x-5}{x+1}\)

\(2x^2+3x+1=5x^2-10+5\)

\(3x^2-3x=10-5+1=6\)

\(3x.\left(x-1\right)=6\)

\(x.\left(x-1\right)=3\)

Lập bảng

Answer 4

\(\frac{2x+1}{x-1}=\frac{5.\left(x-1\right)}{x+1}\)

\(\Leftrightarrow\left(2x+1\right).\left(x+1\right)=5.\left(x-1\right)^2\)

\(\Leftrightarrow2x^2+3x+1=5x^2-2x+1\)

\(\Leftrightarrow-3x^2+5x=0\)

\(\Leftrightarrow x.\left(-3x+5\right)=0\)

.....

p/s: đề k cho nguyên cứ "lập bảng" như thật :VVV vl 

Answer 5

\(\frac{x}{x-1}-\frac{2x}{x^2-1}=0\)

\(\frac{x}{x-1}-\frac{2}{x-1}=0\)

\(\frac{x-2}{x-1}=0\Rightarrow x-2=0\Rightarrow x=2\)

Answer 6

Ukm c ơn quên là nó k cho cơn :V

Answer 7

e,\(\frac{1}{x-2}+3=\frac{x-3}{2-x}\)

\(\frac{3x-5}{x-2}=\frac{x-3}{2-x}\)

\(\left(-3\right)x^2+11x+10=x^2-5x+6\)

\(4x^2-16x=-16\)

\(4x.\left(x-4\right)=-16\)

\(x.\left(x-4\right)=-4\)

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