Bài 3: bài 1, 2, 3 Trang làm nhá :))
4, \(\frac{6x+5}{2}-\frac{10x+3}{4}=2x+\frac{2x+1}{2}\)
\(\Leftrightarrow\) \(\frac{2\left(6x+5\right)}{4}-\frac{10x+3}{4}=\frac{8x}{4}+\frac{2\left(2x+1\right)}{4}\)
\(\Leftrightarrow\) 2(6x + 5) - 10x - 3 = 8x + 2(2x + 1)
\(\Leftrightarrow\) 12x + 10 - 10x - 3 = 8x + 4x + 2
\(\Leftrightarrow\) 2x + 7 = 12x + 2
\(\Leftrightarrow\) 2x - 12x = 2 - 7
\(\Leftrightarrow\) -10x = -5
\(\Leftrightarrow\) x = 2
Vậy S = {2}
5, (x - 4)(x + 4) - 2(3x - 2) = (x - 4)2
\(\Leftrightarrow\) x2 - 16 - 6x + 4 - x2 + 8x - 16 = 0
\(\Leftrightarrow\) 2x - 28 = 0
\(\Leftrightarrow\) x = 14
Vậy S = {14}
6, (x + 1)3 - (x - 1)3 = 6(x2 + x + 1)
\(\Leftrightarrow\) (x + 1 - x + 1)[(x + 1)2 + (x + 1)(x - 1) + (x - 1)2] = 6x2 + 6x + 6
\(\Leftrightarrow\) 2(x2 + 2x + 1 + x2 - x + x - 1 + x2 - 2x + 1) = 6x2 + 6x + 6
\(\Leftrightarrow\) 2(3x2 + 1) = 6x2 + 6x + 6
\(\Leftrightarrow\) 6x2 + 2 = 6x2 + 6x + 6
\(\Leftrightarrow\) 6x2 + 2 - 6x2 - 6x - 6 = 0
\(\Leftrightarrow\) -6x - 4 = 0
\(\Leftrightarrow\) x = \(\frac{-2}{3}\)
Vậy S = {\(\frac{-2}{3}\)}
Chúc bạn học tốt!!