What is the answer to |2x-1|=sqrt(x)+3 ?

The answer to |2x-1|=sqrt(x)+3 is x=(17+sqrt(33))/8

Solve for x: |2x-1|=sqrt(x)+3

The solution is x=(17+sqrt(33))/8

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∣ 2 x - 1 ∣ = x + 3

x = \frac{17 + 33}{8}

Decimal Notation

x = 2.84307 \dots

Solution steps

∣ 2 x - 1 ∣ = x + 3

Find positive and negative intervals

x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

No Solution or x = \frac{17 + 33}{8}

x = \frac{17 + 33}{8}

∣ 3 u - 9 ∣ = 3

∣ 6 x - 1 ∣ + 7 = 18

5 ∣ 6 y - 4 ∣ - 5 = 20

∣ w - 1 ∣ = 2

4 ∣ x + 10 ∣ - 4 = 8

What is the answer to |2x-1|=sqrt(x)+3 ?
The answer to |2x-1|=sqrt(x)+3 is x=(17+sqrt(33))/8
Solve for x: |2x-1|=sqrt(x)+3
The solution is x=(17+sqrt(33))/8