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

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

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

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

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x^{2} - x - 1 = ∣ x - 1 ∣

x = - 2 or x = 2

Decimal

x = - 1.41421 \dots, x = 2

Solution steps

x^{2} - x - 1 = ∣ x - 1 ∣

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = - 2 or x = 2

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

∣ k - 2 ∣ = - 8

3 - ∣ 2 x - 2 ∣ = ∣ 5 - 2 x ∣

- 6 ∣ 3 y ∣ + 23 = - 1

∣ 3 x - 2 ∣ = 2 x - 3

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