What is the answer to sqrt(3x)+2=sqrt(10x-5) ?

The answer to sqrt(3x)+2=sqrt(10x-5) is x=3

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sqrt(3x)+2=sqrt(10x-5)

3 x + 2 = 10 x - 5

x = 3

Solution steps

3 x + 2 = 10 x - 5

Remove square roots

48 x = 49 x^{2} - 126 x + 81

Solve

48 x = 49 x^{2} - 126 x + 81 : x = 3, x = \frac{27}{49}

x = 3, x = \frac{27}{49}

Verify Solutions:

x = 3

True

, x = \frac{27}{49}

False

The solution is

x = 3

6 - 2 x + x = 2 (x + 15) - 9

x - 6 x - 7 = 0

x - 2 = 3 x - 24

\frac{8 - 3 x}{2 4 - x} = 0

x + 8 - 7 x + 9 = - 1

What is the answer to sqrt(3x)+2=sqrt(10x-5) ?
The answer to sqrt(3x)+2=sqrt(10x-5) is x=3
Solve for x: sqrt(3x)+2=sqrt(10x-5)
The solution is x=3