What is the answer to 5|2x-1|+1=6 ?

The answer to 5|2x-1|+1=6 is x=0\lor x=1

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5|2x-1|+1=6

5 ∣ 2 x - 1 ∣ + 1 = 6

x = 0 or x = 1

Solution steps

5 ∣ 2 x - 1 ∣ + 1 = 6

Move

1

to the right side

5 ∣ 2 x - 1 ∣ = 5

Divide both sides by

5

∣ 2 x - 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = 1

3 v^{2} - 81 = 0

x^{2} y^{2}

0 - 8

3 s^{2} + 10 s + 6 = 30

3 a^{2} - 12 a