What is the answer to |4-1/2 w|-1/3 = 1/2 ?

The answer to |4-1/2 w|-1/3 = 1/2 is w= 19/3 \lor w= 29/3

Solve for w: |4-1/2 w|-1/3 = 1/2

The solution is w= 19/3 \lor w= 29/3

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4 - \frac{1}{2} w - \frac{1}{3} = \frac{1}{2}

w = \frac{19}{3} or w = \frac{29}{3}

Decimal Notation

w = 6.33333 \dots, w = 9.66666 \dots

Solution steps

4 - \frac{1}{2} w - \frac{1}{3} = \frac{1}{2}

Move

\frac{1}{3}

to the right side

4 - \frac{1}{2} w = \frac{5}{6}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - \frac{1}{2} w = - \frac{5}{6} or 4 - \frac{1}{2} w = \frac{5}{6}

4 - \frac{1}{2} w = - \frac{5}{6} or 4 - \frac{1}{2} w = \frac{5}{6}

w = \frac{19}{3} or w = \frac{29}{3}

\frac{n ^{\frac{3}{5}}}{n ^{- \frac{3}{4}}}

w^{2} - 5 w + 6 = 0

16 x^{2} y - 4 x y

4 ∣ x - 5 ∣ = 12

6 x^{2} + 6 x - 72 = 0

What is the answer to |4-1/2 w|-1/3 = 1/2 ?
The answer to |4-1/2 w|-1/3 = 1/2 is w= 19/3 \lor w= 29/3
Solve for w: |4-1/2 w|-1/3 = 1/2
The solution is w= 19/3 \lor w= 29/3