What is the answer to |1-2z|+6=9 ?

The answer to |1-2z|+6=9 is z=-1\lor z=2

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|1-2z|+6=9

∣ 1 - 2 z ∣ + 6 = 9

z = - 1 or z = 2

Solution steps

∣ 1 - 2 z ∣ + 6 = 9

Move

6

to the right side

∣ 1 - 2 z ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 2 z = - 3 or 1 - 2 z = 3

1 - 2 z = - 3 or 1 - 2 z = 3

z = - 1 or z = 2

(x + y)^{2} - x^{2}

5 x - 2 (x + 3) = 4 (x + 20)

f = 0 - 1

10 + 3 y - y^{2} = 0

s^{2} \leq 3