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受欢迎的代数 >

|x^2-5x-1|=7

解答

x^{2} - 5 x - 1 = 7

解答

x = \frac{5 - 57}{2} or x = 2 or x = 3 or x = \frac{5 + 57}{2}

+1

十进制

x = - 1.27491 \dots, x = 2, x = 3, x = 6.27491 \dots

求解步骤

x^{2} - 5 x - 1 = 7

使用绝对值运算法则: 若

∣ u ∣ = a, a > 0

，则

u = a

or

u = - a

x^{2} - 5 x - 1 = - 7 or x^{2} - 5 x - 1 = 7

x^{2} - 5 x - 1 = - 7 or x^{2} - 5 x - 1 = 7

(x = 2 or x = 3) or (x = \frac{5 - 57}{2} or x = \frac{5 + 57}{2})

x = \frac{5 - 57}{2} or x = 2 or x = 3 or x = \frac{5 + 57}{2}

作图

流行的例子

5 ∣ b + 7 ∣ = 80

\frac{6 ∣ x - 2 ∣}{4} = 3 x

3 ∣ 2 x - 5 ∣ = - 9 x

|1.51x+3.28|=2.15

∣ 1.51 x + 3.28 ∣ = 2.15

∣ x - 10 ∣ = 17