Question

Giải phương trình

\(\dfrac{3}{4 (x - 5)}\) + \(\dfrac{15}{50 - 2x²}\) = \(\dfrac{- 7}{6 (x + 5)}\)

Answer 1

ĐKXĐ: \(x\ne\pm5\)

\(pt\Leftrightarrow\dfrac{3}{4\left(x-5\right)}-\dfrac{15}{2\left(x-5\right)\left(x+5\right)}+\dfrac{7}{6\left(x+5\right)}=0\)

\(\Leftrightarrow\dfrac{9\left(x+5\right)}{12\left(x-5\right)\left(x+5\right)}-\dfrac{90}{12\left(x-5\right)\left(x+5\right)}+\dfrac{14\left(x-5\right)}{12\left(x-5\right)\left(x+5\right)}=0\)

\(\Leftrightarrow9\left(x+5\right)-90+14\left(x-5\right)=0\)

\(\Leftrightarrow23x=-115\Leftrightarrow x=-5\) (không t/m)

Vậy pt vô nghiệm