What is the answer to |2x-4|=3 ?

The answer to |2x-4|=3 is x= 1/2 \lor x= 7/2

Solve for x: |2x-4|=3

The solution is x= 1/2 \lor x= 7/2

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∣ 2 x - 4 ∣ = 3

x = \frac{1}{2} or x = \frac{7}{2}

Decimal Notation

x = 0.5, x = 3.5

Solution steps

∣ 2 x - 4 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 4 = - 3 or 2 x - 4 = 3

2 x - 4 = - 3 or 2 x - 4 = 3

x = \frac{1}{2} or x = \frac{7}{2}

x^{6} - 6 x^{4} - 31 x^{2} + 36

∣ 4 i ∣

16 a + 72

m^{2} - 11 m + 18 = 0

∣ x ∣ + 3 \geq 0