What is the answer to 4/(|2x-1|)+1=5 ?

The answer to 4/(|2x-1|)+1=5 is x=0,x=1

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4/(|2x-1|)+1=5

\frac{4}{∣ 2 x - 1 ∣} + 1 = 5

x = 0, x = 1

Solution steps

\frac{4}{∣ 2 x - 1 ∣} + 1 = 5

Move

1

to the right side

\frac{4}{∣ 2 x - 1 ∣} = 4

Multiply both sides by

∣ 2 x - 1 ∣

4 = 4 ∣ 2 x - 1 ∣

Solve

4 = 4 ∣ 2 x - 1 ∣ : x = 0 or x = 1

x = 0, x = 1

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

x = 0, x = 1

3 x - 2 \leq \frac{5}{2} + x

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

∣ 6 y - 3 ∣ + 8 = 35

∣ x - 3 ∣ > 3

\frac{( - 18 a b ^{3} )}{( - 2 ab )}