What is the answer to 7|2x-1|=49 ?

The answer to 7|2x-1|=49 is x=-3\lor x=4

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7|2x-1|=49

7 ∣ 2 x - 1 ∣ = 49

x = - 3 or x = 4

Solution steps

7 ∣ 2 x - 1 ∣ = 49

Divide both sides by

7

∣ 2 x - 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 7 or 2 x - 1 = 7

2 x - 1 = - 7 or 2 x - 1 = 7

x = - 3 or x = 4

250 x^{3} - 54

x^{2} - 9 < 0

a^{2} + 8 a + 16

(\frac{9}{2})^{- 2}

\frac{1}{3} + \frac{1}{3} + \frac{1}{3}