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

The answer to 2x^2=|x-1| is x=-1\lor x= 1/2

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

The solution is x=-1\lor x= 1/2

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2 x^{2} = ∣ x - 1 ∣

x = - 1 or x = \frac{1}{2}

Decimal Notation

x = - 1, x = 0.5

Solution steps

2 x^{2} = ∣ x - 1 ∣

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

(x = - 1 or x = \frac{1}{2}) or No Solution

x = - 1 or x = \frac{1}{2}

∣ 3 x + 8 ∣ = 7 x - 4

∣ q - 2 ∣ = 4

0 = 6 - ∣ x ∣

- 9 ∣ x + 8 ∣ = - 99

5 ∣ x - 6 ∣ - 9 = 2