\(x-\dfrac{5}{x}=3\)
<=> \(\dfrac{2x}{x}-\dfrac{5}{x}=\dfrac{3x}{x}\)
<=> 2x - 5 = 3x
<=> -5 = 3x - 2x
<=> x = -5
thay x = -5 vào \(\dfrac{x^2}{x^4+25}\) ta được:
\(\dfrac{\left(-5\right)^2}{\left(-5\right)^4+25}=\dfrac{25}{625+25}=\dfrac{25}{650}=\dfrac{1}{26}\)