What is the answer to w=(sqrt(1-3w))/2 ?

The answer to w=(sqrt(1-3w))/2 is w= 1/4

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w=(sqrt(1-3w))/2

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

w = \frac{1}{4}

Decimal Notation

w = 0.25

Solution steps

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

Multiply both sides by

2

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

Simplify

w \cdot 2 = 1 - 3 w

Square both sides:

4 w^{2} = 1 - 3 w

4 w^{2} = 1 - 3 w

Solve

4 w^{2} = 1 - 3 w : w = \frac{1}{4}, w = - 1

w = \frac{1}{4}, w = - 1

Verify Solutions:

w = \frac{1}{4}

True

, w = - 1

False

The solution is

w = \frac{1}{4}

1 + x = 2

x + 5 = 26 x + 14

3 = \frac{h}{4.9}

3 x = 6 x

- 3 + 8 x + 1 = 13

What is the answer to w=(sqrt(1-3w))/2 ?
The answer to w=(sqrt(1-3w))/2 is w= 1/4
Solve for w: w=(sqrt(1-3w))/2
The solution is w= 1/4