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受欢迎的代数 >

|x^2-4x-5|=4

解答

x^{2} - 4 x - 5 = 4

解答

x = 2 - 13 or x = 2 - 5 or x = 2 + 5 or x = 2 + 13

+1

十进制

x = - 1.60555 \dots, x = - 0.23606 \dots, x = 4.23606 \dots, x = 5.60555 \dots

求解步骤

x^{2} - 4 x - 5 = 4

使用绝对值运算法则: 若

∣ u ∣ = a, a > 0

，则

u = a

or

u = - a

x^{2} - 4 x - 5 = - 4 or x^{2} - 4 x - 5 = 4

x^{2} - 4 x - 5 = - 4 or x^{2} - 4 x - 5 = 4

(x = 2 - 5 or x = 2 + 5) or (x = 2 - 13 or x = 2 + 13)

x = 2 - 13 or x = 2 - 5 or x = 2 + 5 or x = 2 + 13

作图

流行的例子

∣ 4 z + 6 ∣ = - 10

|(x+3)|(x+1)+|2x+5|=0

∣ (x + 3) ∣ (x + 1) + ∣ 2 x + 5 ∣ = 0

∣ 3 x - 2 ∣ = ∣ x - 3 ∣

∣ x - 1 ∣ = - 3 x

2*|x-2|-3*|2x+4|=5-2*(1-3x)

2 \cdot ∣ x - 2 ∣ - 3 \cdot ∣ 2 x + 4 ∣ = 5 - 2 \cdot (1 - 3 x)