What is the answer to |2x-3|= 1/x+3 ?

The answer to |2x-3|= 1/x+3 is x=(3+sqrt(11))/2

Solve for x: |2x-3|= 1/x+3

The solution is x=(3+sqrt(11))/2

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∣ 2 x - 3 ∣ = \frac{1}{x} + 3

x = \frac{3 + 11}{2}

Solution steps

∣ 2 x - 3 ∣ = \frac{1}{x} + 3

Multiply both sides by

x

∣ 2 x - 3 ∣ x = 1 + 3 x

Solve

∣ 2 x - 3 ∣ x = 1 + 3 x : x = \frac{3 + 11}{2}

x = \frac{3 + 11}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3 + 11}{2}

5 + 2 x = 2 x + 6

(3 a^{\frac{1}{2}} b^{\frac{1}{3}})^{2}

7 x + (- 2) = - 44

(x + 3)^{2} + x^{2} = (x + 6)^{2}

∣ 3 a + 5 ∣ = 5 a + 3

What is the answer to |2x-3|= 1/x+3 ?
The answer to |2x-3|= 1/x+3 is x=(3+sqrt(11))/2
Solve for x: |2x-3|= 1/x+3
The solution is x=(3+sqrt(11))/2