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

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

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|2x-1|+5=6

∣ 2 x - 1 ∣ + 5 = 6

x = 0 or x = 1

Solution steps

∣ 2 x - 1 ∣ + 5 = 6

Move

5

to the right side

∣ 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

5 x^{2} - 7 x = - 6 x + 4

8 w^{2} - 50 = 0

y^{3} - 2 y^{2} - 5 y + 6

3 c^{2} + 4 c + 8 = - 6 c

75 \cdot \frac{π}{180}