Question

Giải phương trình:

a) 5 + 96/x²-16 = 2x-1/x+4 - 3x-1/4-x

b) 3x+2/3x-2 - 6/2+3x = 9x²/9x²-44

c) 1/x-1 + 1/x+1 = 2/x+2

d) x+1/x-2 - 5/x+2 = 12/x²-4 + 1

Answer 1

b: \(\Leftrightarrow9x^2+12x+4-18x+12=9x^2\)

=>-6x+16=0

=>-6x=-16

hay x=8/3(nhận)

c: \(\Leftrightarrow\dfrac{x+1+x-1}{\left(x-1\right)\left(x+1\right)}=\dfrac{2}{x+2}\)

\(\Leftrightarrow2x\left(x+2\right)=2\left(x^2-1\right)\)

\(\Leftrightarrow2x^2+4x-2x^2+2=0\)

=>4x+2=0

hay x=-1/2(nhận)