What is the answer to sqrt(x)+1=sqrt(x+6) ?

The answer to sqrt(x)+1=sqrt(x+6) is x= 25/4

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sqrt(x)+1=sqrt(x+6)

x + 1 = x + 6

x = \frac{25}{4}

Decimal Notation

x = 6.25

Solution steps

x + 1 = x + 6

Remove square roots

4 x = 25

Solve

4 x = 25 : x = \frac{25}{4}

x = \frac{25}{4}

Verify Solutions:

x = \frac{25}{4}

True

The solution is

x = \frac{25}{4}

x^{4} + 8 x^{2} + 16 = x^{2} + 4

\frac{x + 3}{x + 3} = 1

3 x + 81 + 9 = x

y^{2} - 7 y - y + 9 = 0

What is the answer to sqrt(x)+1=sqrt(x+6) ?
The answer to sqrt(x)+1=sqrt(x+6) is x= 25/4
Solve for x: sqrt(x)+1=sqrt(x+6)
The solution is x= 25/4