What is the answer to 3sqrt(1-x)=1+sqrt(3x-2) ?

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

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3sqrt(1-x)=1+sqrt(3x-2)

3 1 - x = 1 + 3 x - 2

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

3 1 - x = 1 + 3 x - 2

Remove square roots

144 x^{2} - 240 x + 100 = 12 x - 8

Solve

144 x^{2} - 240 x + 100 = 12 x - 8 : x = 1, x = \frac{3}{4}

x = 1, x = \frac{3}{4}

Verify Solutions:

x = 1

False

, x = \frac{3}{4}

True

The solution is

x = \frac{3}{4}

x^{\frac{3}{4}} = 5

3 x + 4 - 2 x + 1 = 1

x^{2} + 16 = x + 4

3 + 2 y = - y

x + 2 = x + 9

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