Tìm x biết: a) x^3 -1/4 x =0 ; b) (2x – 1)^2 – (x + 3)^2 = 0; c) x^2(x – 3) + 12 – 4x = 0.

Tìm x biết:

a) x314x=0 ;

b) (2x – 1)2 – (x + 3)2 = 0;

c) x2(x – 3) + 12 – 4x = 0.

Trả lời
Tìm x biết: a) x^3 -1/4 x =0 ; b) (2x – 1)^2 – (x + 3)^2 = 0; c) x^2(x – 3) + 12 – 4x = 0. (ảnh 1)

b) (2x – 1)2 – (x + 3)2 = 0

(2x – 1 – x – 3)(2x – 1 + x + 3) = 0

(x – 4)(3x + 2) = 0

x4=03x+2=0x=4x=23

Vậy x4;23  .

c) x2(x – 3) + 12 – 4x = 0

x2(x – 3) – 4(x – 3) = 0

(x – 3)(x2 – 4) = 0

(x – 3)(x – 2)(x + 2) = 0 

x3=0x2=0x+2=0x=3x=2x=2

Vậy x {3; 2; –2}.

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