What is the answer to |x+sqrt(2)|=sqrt(3) ?

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

Solve for x: |x+sqrt(2)|=sqrt(3)

The solution is x=-sqrt(3)-sqrt(2)\lor x=sqrt(3)-sqrt(2)

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x + 2 = 3

x = - 3 - 2 or x = 3 - 2

Solution steps

x + 2 = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 3 or x + 2 = 3

x + 2 = - 3 or x + 2 = 3

x = - 3 - 2 or x = 3 - 2

∣ x - 1 ∣ + ∣ x - 2 ∣ = 5

∣ 3 x + 2 ∣ = ∣ x - 1 ∣

∣ x - 1 ∣ + ∣ 4 - x ∣ = 6

x^{2} - 5 ∣ x - 1 ∣ - 1 = 0

4 - 2 ∣ x - 1 ∣ = 7

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