What is the answer to x^2-3x-2=|x-1| ?

The answer to x^2-3x-2=|x-1| is x=-1\lor x=2+sqrt(5)

Solve for x: x^2-3x-2=|x-1|

The solution is x=-1\lor x=2+sqrt(5)

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x^{2} - 3 x - 2 = ∣ x - 1 ∣

x = - 1 or x = 2 + 5

Solution steps

x^{2} - 3 x - 2 = ∣ x - 1 ∣

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = - 1 or x = 2 + 5

∣ x - 3 ∣ = 5 x + 9

7 ∣ x - 4 ∣ = 4

x, ∣ x + y ∣ = 1

\frac{3}{4} x - 3 = 9

∣ 4 x - 1 ∣ - 7 = 0

What is the answer to x^2-3x-2=|x-1| ?
The answer to x^2-3x-2=|x-1| is x=-1\lor x=2+sqrt(5)
Solve for x: x^2-3x-2=|x-1|
The solution is x=-1\lor x=2+sqrt(5)