What is the answer to |x^2-2x-1|=0 ?

The answer to |x^2-2x-1|=0 is x=1-sqrt(2)\lor x=1+sqrt(2)

Solve for x: |x^2-2x-1|=0

The solution is x=1-sqrt(2)\lor x=1+sqrt(2)

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x^{2} - 2 x - 1 = 0

x = 1 - 2 or x = 1 + 2

Decimal Notation

x = - 0.41421 \dots, x = 2.41421 \dots

Solution steps

x^{2} - 2 x - 1 = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x^{2} - 2 x - 1 = 0

x^{2} - 2 x - 1 = 0 : x = 1 + 2, x = 1 - 2

x = 1 - 2 or x = 1 + 2

2 ∣ x - 2 ∣ = - 1

∣ 2 x ∣ - 3 = 20

∣ k + 5 ∣ = 12

∣ 2 k + 1 ∣ = 9

∣ 6 n - 6 ∣ = - 72

What is the answer to |x^2-2x-1|=0 ?
The answer to |x^2-2x-1|=0 is x=1-sqrt(2)\lor x=1+sqrt(2)
Solve for x: |x^2-2x-1|=0
The solution is x=1-sqrt(2)\lor x=1+sqrt(2)