What is the answer to sqrt(4x-1)=2-2x ?

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

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sqrt(4x-1)=2-2x

4 x - 1 = 2 - 2 x

x = \frac{1}{2}

Decimal

x = 0.5

Solution steps

4 x - 1 = 2 - 2 x

Square both sides:

4 x - 1 = 4 - 8 x + 4 x^{2}

4 x - 1 = 4 - 8 x + 4 x^{2}

Solve

4 x - 1 = 4 - 8 x + 4 x^{2} : x = \frac{5}{2}, x = \frac{1}{2}

x = \frac{5}{2}, x = \frac{1}{2}

Verify Solutions:

x = \frac{5}{2}

False

, x = \frac{1}{2}

True

The solution is

x = \frac{1}{2}

6 u^{- \frac{1}{2}} - 13 u^{- \frac{1}{4}} + 6 = 0

- 11 3 x + 13 = - 20

2 x + 1 = x - 7

x = 0.6

2 + r = 11