\(Đk:\)\(x\)\(\ne\)\(0\) và x\(\ne\)\(5\)

\(\Leftrightarrow\)\(\dfrac{x(x+5)-(x-5)}{x(x-5)}=\dfrac{5}{x(x-5)}\)

\(\Leftrightarrow\)\(\dfrac{x^2+5x-x+5}{x(x-5)}-\dfrac{5}{x(x-5)}=0\)

\(\Leftrightarrow\)\(\dfrac{x^2+4x}{x(x-5)}=0\)

\(\Rightarrow\)\(x^2+4x=0\)

\(\Leftrightarrow\)\(\left[\begin{array}{} x=0\\ x+4=0 \end{array} \right.\)

\(\Leftrightarrow\)\(\left[\begin{array}{} x=0(loại)\\ x=-4(thỏa mãn) \end{array} \right.\)

a)R

b)R

c)\(x\)\(\ne\)\(\pm\)\(1\)

d)\(x<1\)

\(A=\dfrac{3}{7}+(-\dfrac{5}{2})+(-\dfrac{3}{7})\)

\(=(\dfrac{3}{7}-\dfrac{3}{7})-\dfrac{5}{2} \)

\(=-\dfrac{5}{2}\)

\(B=\dfrac{4^2.2^3}{2^6}\)

\(B=\dfrac{4^2}{2^3}\)

\(B=\dfrac{16}{8}\)

\(B=2\)

1)

\(a)2^x=2^4\)

\(\Leftrightarrow\)\(x=4\)

\(b)\)\(x^{50}=x\)

\(\Leftrightarrow\)\(x=0\)

2)

\(a)x^3=-3^3 \)

\(\Leftrightarrow\)\(x=-3\)

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

\(\Leftrightarrow\)\(x-2=4\)

\(\Leftrightarrow\)\(x=6\)

Biểu thức này không phân tích được nhé.

Rườm quá e.Nhân giãn ra rồi tính sẽ nhanh hơn

\(= \)\(5x^2-4x^2+8x-4-5\)

\(=\)\(x^2+8x-9\)

\(=x^2+9x-x-9\)

\(=(x-1)(x+9)\)

\(x-\dfrac{9}{2}=-\dfrac{5}{2}\)

\(\Leftrightarrow\)\(x=-\dfrac{5}{2}+\dfrac{9}{2}\)

\(\Leftrightarrow\)\(x=2\)

\(-\dfrac{5}{8}.x=\dfrac{5}{6}\)

\(\Leftrightarrow\)\(-\dfrac{15}{24}.x=\dfrac{20}{24}\)

\(\Leftrightarrow\)\(x=-\dfrac{4}{3}\)

\(x+\dfrac{3}{13}=\dfrac{10}{13}\)

\(\Leftrightarrow\)\(x=\dfrac{10}{13}-\dfrac{3}{13}\)

\(\Leftrightarrow\)\(x=\dfrac{7}{13}\)