What is the answer to |x+(sqrt(2))/2 |=2 ?

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

Solve for x: |x+(sqrt(2))/2 |=2

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

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x + \frac{2}{2} = 2

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

Decimal

x = - 2.70710 \dots, x = 1.29289 \dots

Solution steps

x + \frac{2}{2} = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

4 + ∣ 3 x - 10 ∣ = 15

∣ x ∣ + 4 = 17

∣ x - 7 ∣ = 45

x^{2} - 17 ∣ x ∣ + 72 = 0

∣ 5 x - 7 ∣ - 12 = - 3

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