What is the answer to sqrt(3x)+3=sqrt(9x+1) ?

The answer to sqrt(3x)+3=sqrt(9x+1) is x= 16/3

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sqrt(3x)+3=sqrt(9x+1)

3 x + 3 = 9 x + 1

x = \frac{16}{3}

Decimal

x = 5.33333 \dots

Solution steps

3 x + 3 = 9 x + 1

Remove square roots

108 x = 36 x^{2} - 96 x + 64

Solve

108 x = 36 x^{2} - 96 x + 64 : x = \frac{16}{3}, x = \frac{1}{3}

x = \frac{16}{3}, x = \frac{1}{3}

Verify Solutions:

x = \frac{16}{3}

True

, x = \frac{1}{3}

False

The solution is

x = \frac{16}{3}

x - 4 = 3

11 x - 7 = x + 1

x - 3 = 2

3 x - 10 = - 3

45 0^{0.5} = 4 L^{0.5} L^{0.5}

What is the answer to sqrt(3x)+3=sqrt(9x+1) ?
The answer to sqrt(3x)+3=sqrt(9x+1) is x= 16/3
Solve for x: sqrt(3x)+3=sqrt(9x+1)
The solution is x= 16/3