What is the answer to |41w-1|=|12w| ?

The answer to |41w-1|=|12w| is w= 1/53 \lor w= 1/29

Solve for w: |41w-1|=|12w|

The solution is w= 1/53 \lor w= 1/29

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∣ 41 w - 1 ∣ = ∣ 12 w ∣

w = \frac{1}{53} or w = \frac{1}{29}

Decimal Notation

w = 0.01886 \dots, w = 0.03448 \dots

Solution steps

∣ 41 w - 1 ∣ = ∣ 12 w ∣

Find positive and negative intervals

w < 0, 0 \leq w < \frac{1}{41}, w \geq \frac{1}{41}

Solve the inequality for each interval

No Solution or w = \frac{1}{53} or w = \frac{1}{29}

w = \frac{1}{53} or w = \frac{1}{29}

\frac{x - 4}{x + 2} \leq 0

2 x^{2} + 5 x - 10 = x^{2} + 4

x^{- 5} + x^{- 4}

- x^{2} + 2 x + 3

3 x^{3} - 21 x^{2} + 30 x

What is the answer to |41w-1|=|12w| ?
The answer to |41w-1|=|12w| is w= 1/53 \lor w= 1/29
Solve for w: |41w-1|=|12w|
The solution is w= 1/53 \lor w= 1/29