What is the answer to |2x-3|=5 ?

The answer to |2x-3|=5 is x=-1\lor x=4

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|2x-3|=5

∣ 2 x - 3 ∣ = 5

x = - 1 or x = 4

Solution steps

∣ 2 x - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 5 or 2 x - 3 = 5

2 x - 3 = - 5 or 2 x - 3 = 5

x = - 1 or x = 4

x^{2} - 10 x + 74 = 0

- 4 \cdot 4

49 p^{3} q - 25 p q^{3}

9 y^{4} - 7 y^{2} - 16

\frac{- 7 + i}{- 6 - 8 i}