|x^2-2x|=|x^2+6x|

解答

x^{2} - 2 x = x^{2} + 6 x

x = - 2 or x = 0

求解步骤

x^{2} - 2 x = x^{2} + 6 x

找到正负区间

x \leq - 6, - 6 < x \leq 0, 0 < x < 2, x \geq 2

对每个区间解不等式

无解 or (x = - 2 or x = 0)

x = - 2 or x = 0

\frac{x + 1}{x - 2} < 1

∣ x ∣ = x^{2} - 2

f a c t or q^{3} - 6 q^{2} + 20 q

s im pl i f y \frac{5}{9} \cdot \frac{4}{8}

5 (x^{2} - 1) > - 24 x