Ôn tập Giải phương trình (tiếp)

Nội dung text: Ôn tập Giải phương trình (tiếp)

1. ễN TẬP GIẢI PHƯƠNG TRèNH Bài 1: Giải phương trỡnh: a)3x + 1= 7x - 11 7x - 1 16- x m) + 2x = b)2x + x + 12 = 0 6 5 3x + 2 3x + 1 5 c)5- 3x = 6x + 7 n) - = + 2x d)11- 2x = x - 1 2 6 3 x + 4 x x - 2 e)15- 8x = 9- 5x 0) - x + 4 = - 5 3 2 f )5- (x - 6) = 4(3- 2x) (2x + 1)2 (x - 1)2 7x2 - 14x - 5 2 2 2 p) - = g)2x(x + 2) - 8x = 2(x - 2)(x + 2x + 4) 5 3 15 5x - 2 5- 3x 10x + 3 6 + 8x h) = q) = 1+ 3 2 12 9 10x + 3 6 + 8x x + 1 x + 2 x + 3 x + 4 k) = 1+ r) + = + 12 0 9 8 7 6 7 20x + 1,5 10x + 3 6 + 8x 1) x - 5(x - 9) = s) = 1+ 8 6 12 9 w)4(3x - 2)- 3(x - 4) = 7x + 10 2(3x + 5) x 3(x + 1) t) - = 5- 3 2 4 x x + 1 x + 2 x + 3 x + 4 v) + + + + = 5 2012 2013 2014 2015 2016 x - 90 x - 76 x - 58 x - 36 x - 15 z) + + + + = 15 10 12 14 16 17 x - 3 x - 2 x - 2012 x - 2011 y) + = + 2011 2012 2 3 Bài 2: Giải phương trỡnh: x + 2 x + 3 x + 4 x + 2028 3x + 2 3x + 1 5 a) + + + = 0 k) - = + 2x 2008 2007 2006 6 2 6 3 x + 5 2x - 3 6x - 1 2x - 1 x + 4 x x - 2 b) - = + m) - x + 4 = - 4 3 8 12 5 3 2 x + 1 x + 3 x + 5 x + 7 (2x + 1)2 (x - 1)2 7x2 - 14x - 5 c) + = + n) - = 65 63 61 59 5 3 15 2(3x + 5) x 3(x + 1) (x + 10)(x + 4) (x + 4)(2- x) (x + 10)(x - 2) d) - = 5- p) - = 3 2 4 12 4 3 x - 23 x - 23 x - 23 x - 23 e) + = + 24 25 26 27 ổx + 2 ử ổx + 3 ử ổx + 4 ử ổx + 5 ử f )ỗ + 1ữ+ ỗ + 1ữ= ỗ + 1ữ+ ỗ + 1ữ ốỗ 98 ứữ ốỗ 97 ứữ ốỗ 96 ứữ ốỗ 95 ứữ x + 1 x + 2 x + 3 x + 4 g) + = + 2004 2003 2002 2001 201- x 203- x 205- x h) + + + 3 = 0 99 97 95 Bài 3: Giải phương trỡnh:
2. ổ 1ửổ 2 ử o)2x(x - 3) + 5(x - 3) = 0 a)ỗ3x - ữỗ- x + 1ữ= 0 ốỗ 2ứữốỗ 3 ứữ q) 3x2 + 2x - 1= 0 b)(3x - 5)(x + 3) = 0 r) x2 - 5x + 6 = 0 2 c)x - 4x + 4 = 9 s) x2 - 3x + 2 = 0 2 d)4x - 6x = 0 t) 2x2 - 6x + 1= 0 3 2 e)2x - 5x + 3x = 0 0) (2x - 1)2 + (2- x)(2x - 1) = 0 2 f (x - 25)+ (x - 5)(2x - 11) = 0 v)(x2 - 4)+ (x - 2)(3- 2x) = 0 ổ 1ửổ 2 ử x)4x2 - 1= (2x + 1)(3x - 5) g)ỗ3x - ữỗ- x + 1ữ= 0 ốỗ 2ứữốỗ 3 ứữ z)(x2 - 4)+ (x - 2)(3- 2x) = 0 h)(3x - 2)(4x + 5) = 0 p)(x + 2)(3- 4x) = x2 + 4x + 4 k)(2x + 7)(x - 5)(5x + 1) = 0 m)(4x + 2)(x2 + 1)= 0 n)(5x - 10)(2+ 6x) = 0 Bài 4: Giải phương trỡnh: x + 1 x - 1 16 1- 6x 9x + 4 x(3x - 2) + 1 a) - = e) - = x - 1 x + 1 x2 - 1 x - 2 x + 2 x2 - 4 12 x + 1 x + 7 1 2x2 - 5 4 b) - + = 0 f ) + = x2 - 4 x - 2 x + 2 x - 1 x3 - 1 x2 + x + 1 4 2x - 5 2x - 7x2 + 4 5 1 c) = - g) = - x2 + 2x - 3 x + 3 x - 1 x3 + 1 x2 - x + 1 1+ x 3 1 - 7 2 2x + 3 (2x - 1)(2x + 1) d) - = h) + = x2 + x - 2 x - 1 x + 2 x - 1 x2 + x + 1 x3 - 1 Bài 5: Giải phương trỡnh: 2x 3(x - 1) 4+ 3x x2 + 1 a) + = 5 m) = x + 1 x 3 x 1- x 2x + 3 1 5 15 b) + 3 = n) - = x + 1 x + 1 x + 1 x - 2 (x + 1)(2- x) (x + 2)2 x2 + 10 1 3 5 c) - 1= o) - = 2x - 3 2x - 3 2x - 3 x(2x - 3) x x - 1 1 6 4 8 d) - 3+ x = p) - = x - 2 x - 2 x - 1 x - 3 2x - 6 x - 2 1 3 2 1 e) = - 1- 2x q) + = 1- x x - 1 (x - 1)(x - 2) (x - 3)(x - 1) (x - 2)(x - 3) 2 1 2 f ) - = 1 5 3 x - 2 x x2 - 2x r) + = x - 2 x + 1 2- x x - 1 x 5x - 8 g) - = 5x 6 x + 2 x - 2 x2 - 4 s) + 1= - 2x + 2 x + 1 3x + 2 6 9x2 h) - = x + 1 x - 1 4 3x - 2 2+ 3x 9x2 - 4 t) - = x - 1 x + 1 x2 - 1 x + 3 x - 5 i) + = 2 3x x 3x x + 1 x u) - = x - 2 x - 5 (x - 2)(5- x) x x 2x k) + - = 0 2x - 6 2x + 2 (x + 1)(x - 3)