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受欢迎的代数 >

2|(x-2)(x-5)|=(x-3)^2

解答

2 ∣ (x - 2) (x - 5) ∣ = (x - 3)^{2}

解答

x = 4 - 5 or x = \frac{10 - 13}{3} or x = \frac{10 + 13}{3} or x = 4 + 5

+1

十进制

x = 1.76393 \dots, x = 2.13148 \dots, x = 4.53518 \dots, x = 6.23606 \dots

求解步骤

2 ∣ (x - 2) (x - 5) ∣ = (x - 3)^{2}

找到正负区间

x \leq 2, 2 < x < 5, x \geq 5

对每个区间解不等式

x = 4 - 5 or (x = \frac{10 - 13}{3} or x = \frac{10 + 13}{3}) or x = 4 + 5

x = 4 - 5 or x = \frac{10 - 13}{3} or x = \frac{10 + 13}{3} or x = 4 + 5

作图

流行的例子

∣ x + 3 ∣ = - ∣ x + 1 ∣

|5x+16|=|3x+48|

∣ 5 x + 16 ∣ = ∣ 3 x + 48 ∣

∣ x - 1 ∣ + ∣ 2 x + 4 ∣ = 5

∣ a + 2 ∣ = 3 + a

|2x+4|+|x-5|=2x

∣ 2 x + 4 ∣ + ∣ x - 5 ∣ = 2 x