What is the answer to 2sqrt(3x+1)-2x+2=0 ?

The answer to 2sqrt(3x+1)-2x+2=0 is x=5

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2sqrt(3x+1)-2x+2=0

2 3 x + 1 - 2 x + 2 = 0

x = 5

Solution steps

2 3 x + 1 - 2 x + 2 = 0

Remove square roots

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

Solve

12 x + 4 = 4 x^{2} - 8 x + 4 : x = 5, x = 0

x = 5, x = 0

Verify Solutions:

x = 5

True

, x = 0

False

The solution is

x = 5

x = 9 x - 14

(4 x + 8)^{\frac{1}{2}} = 2 x

3 x + x^{2} = 15 + x^{2}

x^{2} + 3 - 2 x + 1 = 0

156 - x = x

What is the answer to 2sqrt(3x+1)-2x+2=0 ?
The answer to 2sqrt(3x+1)-2x+2=0 is x=5
Solve for x: 2sqrt(3x+1)-2x+2=0
The solution is x=5