Phân tích đa thức thành nhân tử
Giải các phương trình sau.
----- Nội dung ảnh -----
a) \( x^2 - \frac{3}{2}x = \left( \frac{3}{4} - x \right)x + \frac{x}{2} - \frac{15}{16} \).
b) \( (x^2 - x + 1)^4 + 4x^2(x^2 - x + 1)^2 = 5x^4 \).
c) \( (3x - 2)(x + 1)^2(3x - 8) = -16 \).
d) \( x(x - 2)(x - 1)(x + 1) = 24 \).
e) \( \frac{214 - x}{91} + \frac{265 - x}{71} + \frac{216 - x}{31} + \frac{167 - x}{11} = 10 \).
f) \( \frac{x + 58}{7} + \frac{x + 162}{31} + \frac{x + 151}{17} + \frac{x + 110}{10} = 0 \).
----- Nội dung ảnh -----
a) \( x^2 - \frac{3}{2}x = \left( \frac{3}{4} - x \right)x + \frac{x}{2} - \frac{15}{16} \).
b) \( (x^2 - x + 1)^4 + 4x^2(x^2 - x + 1)^2 = 5x^4 \).
c) \( (3x - 2)(x + 1)^2(3x - 8) = -16 \).
d) \( x(x - 2)(x - 1)(x + 1) = 24 \).
e) \( \frac{214 - x}{91} + \frac{265 - x}{71} + \frac{216 - x}{31} + \frac{167 - x}{11} = 10 \).
f) \( \frac{x + 58}{7} + \frac{x + 162}{31} + \frac{x + 151}{17} + \frac{x + 110}{10} = 0 \).