What is the answer to 10-2sqrt(3x-1)=-14 ?

The answer to 10-2sqrt(3x-1)=-14 is x= 145/3

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10-2sqrt(3x-1)=-14

10 - 2 3 x - 1 = - 14

x = \frac{145}{3}

Decimal Notation

x = 48.33333 \dots

Solution steps

10 - 2 3 x - 1 = - 14

Move

10

to the right side

- 2 3 x - 1 = - 24

Divide both sides by

- 2

3 x - 1 = 12

Square both sides:

3 x - 1 = 144

3 x - 1 = 144

Solve

3 x - 1 = 144 : x = \frac{145}{3}

x = \frac{145}{3}

Verify Solutions:

x = \frac{145}{3}

True

The solution is

x = \frac{145}{3}

x + 36 + 6 = x

2 x + 2 = x - 3

2 x + 6 - x + 1 = 2

x + 19 + x - 2 = 7

What is the answer to 10-2sqrt(3x-1)=-14 ?
The answer to 10-2sqrt(3x-1)=-14 is x= 145/3
Solve for x: 10-2sqrt(3x-1)=-14
The solution is x= 145/3