What is the answer to |x-3|=(-2+sqrt(34))/2 ?

The answer to |x-3|=(-2+sqrt(34))/2 is x=-(-2+sqrt(34))/2+3\lor x=(-2+sqrt(34))/2+3

Solve for x: |x-3|=(-2+sqrt(34))/2

The solution is x=-(-2+sqrt(34))/2+3\lor x=(-2+sqrt(34))/2+3

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∣ x - 3 ∣ = \frac{- 2 + 34}{2}

x = - \frac{- 2 + 34}{2} + 3 or x = \frac{- 2 + 34}{2} + 3

Decimal Notation

x = 1.08452 \dots, x = 4.91547 \dots

Solution steps

∣ x - 3 ∣ = \frac{- 2 + 34}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 3 = - \frac{- 2 + 34}{2} or x - 3 = \frac{- 2 + 34}{2}

x - 3 = - \frac{- 2 + 34}{2} or x - 3 = \frac{- 2 + 34}{2}

x = - \frac{- 2 + 34}{2} + 3 or x = \frac{- 2 + 34}{2} + 3

x^{2} + 12 x - 20 = 0

(n - 8) (n + 3) = 0

36 m^{2} n^{2} - 25

3 (5) - 2 (0) = - 5

3 y - 5 < - 8 or 2 y - 1 > 5

What is the answer to |x-3|=(-2+sqrt(34))/2 ?
The answer to |x-3|=(-2+sqrt(34))/2 is x=-(-2+sqrt(34))/2+3\lor x=(-2+sqrt(34))/2+3
Solve for x: |x-3|=(-2+sqrt(34))/2
The solution is x=-(-2+sqrt(34))/2+3\lor x=(-2+sqrt(34))/2+3