What is the answer to sqrt(3x+5)=sqrt(2)+sqrt(3x) ?

The answer to sqrt(3x+5)=sqrt(2)+sqrt(3x) is x= 3/8

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sqrt(3x+5)=sqrt(2)+sqrt(3x)

3 x + 5 = 2 + 3 x

x = \frac{3}{8}

Decimal Notation

x = 0.375

Solution steps

3 x + 5 = 2 + 3 x

Remove square roots

9 = 24 x

Solve

9 = 24 x : x = \frac{3}{8}

x = \frac{3}{8}

Verify Solutions:

x = \frac{3}{8}

True

The solution is

x = \frac{3}{8}

\frac{- 20 x - 10}{9 x ^{\frac{4}{3}}} = 0

8 x^{2} - x = 16 x - 17

8 x + 89 + 8 = 13

5 + 2 x = x^{2} - 2 x + 1

4 + x + 5 = 0

What is the answer to sqrt(3x+5)=sqrt(2)+sqrt(3x) ?
The answer to sqrt(3x+5)=sqrt(2)+sqrt(3x) is x= 3/8
Solve for x: sqrt(3x+5)=sqrt(2)+sqrt(3x)
The solution is x= 3/8