What is the answer to sqrt(2x)+1=sqrt(7x-13) ?

The answer to sqrt(2x)+1=sqrt(7x-13) is x= 98/25

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sqrt(2x)+1=sqrt(7x-13)

2 x + 1 = 7 x - 13

x = \frac{98}{25}

Decimal Notation

x = 3.92

Solution steps

2 x + 1 = 7 x - 13

Remove square roots

8 x = 25 x^{2} - 140 x + 196

Solve

8 x = 25 x^{2} - 140 x + 196 : x = \frac{98}{25}, x = 2

x = \frac{98}{25}, x = 2

Verify Solutions:

x = \frac{98}{25}

True

, x = 2

False

The solution is

x = \frac{98}{25}

2 x^{2} = 10

2 x^{2} = 16

2 x^{2} = 15

What is the answer to sqrt(2x)+1=sqrt(7x-13) ?
The answer to sqrt(2x)+1=sqrt(7x-13) is x= 98/25
Solve for x: sqrt(2x)+1=sqrt(7x-13)
The solution is x= 98/25