Question

Bàl 3. \( (1,5 \) điểm). Tim x, biét: a) \( x^{2}+11 x=0 \) b) \( (2 x-3)^{2}-(x+4)^{2}=0 \) c) \( x^{2}+7 x=8 \)

Answer 1

a) x² + 11x = 0

x(x + 11) = 0

x = 0 hoặc x + 11 = 0

*) x + 11 = 0

x = -11

Vậy x = -11; x = 0

b) (2x - 3)² - (x + 4)² = 0

(2x - 3 - x - 4)(2x - 3 + x + 4) = 0

(x - 7)(3x + 1) = 0

x - 7 = 0 hoặc 3x + 1 = 0

*) x - 7 = 0

x = 7

*) 3x + 1 = 0

3x = -1

x = -1/3

Vậy x = -1/3; x = 7

c) x² + 7x = 8

x² + 7x - 8 = 0

x² - x + 8x - 8 = 0

(x² - x) + (8x - 8) = 0

x(x - 1) + 8(x - 1) = 0

(x - 1)(x + 8) = 0

x - 1 = 0 hoặc x + 8 = 0

*) x - 1 = 0

x = 1

*) x + 8 = 0

x = -8

Vậy x = -8; x = 1