|2x-1|+3=|5-x|

解答

∣ 2 x - 1 ∣ + 3 = ∣ 5 - x ∣

x = - 1 or x = 1

求解步骤

∣ 2 x - 1 ∣ + 3 = ∣ 5 - x ∣

找到正负区间

x < \frac{1}{2}, \frac{1}{2} \leq x \leq 5, x > 5

对每个区间解不等式

x = - 1 or x = 1 or 无解

x = - 1 or x = 1

\frac{( x - 1 )}{x ^{2} - 4} < 0

- 2 X + 12 > - 8 X

f a c t or x^{2} + 4 x - 5

9 x - 3 \geq 4 (3 x + 3)

s im pl i f y 4 0^{2} + 3 0^{2}