What is the answer to sqrt(x)+1=sqrt(9x-2) ?

The answer to sqrt(x)+1=sqrt(9x-2) is x= 9/16

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sqrt(x)+1=sqrt(9x-2)

x + 1 = 9 x - 2

x = \frac{9}{16}

Decimal Notation

x = 0.5625

Solution steps

x + 1 = 9 x - 2

Remove square roots

4 x = 64 x^{2} - 48 x + 9

Solve

4 x = 64 x^{2} - 48 x + 9 : x = \frac{9}{16}, x = \frac{1}{4}

x = \frac{9}{16}, x = \frac{1}{4}

Verify Solutions:

x = \frac{9}{16}

True

, x = \frac{1}{4}

False

The solution is

x = \frac{9}{16}

x - 3 = 4

x + 5 - x - 3 = 2

\frac{10 x - 20}{x ^{(\frac{1}{3})}} = 0

m, (m - x) x^{2} - 2 m = 2 - x

x^{\frac{1}{2}} = 4 a^{\frac{1}{24}}

What is the answer to sqrt(x)+1=sqrt(9x-2) ?
The answer to sqrt(x)+1=sqrt(9x-2) is x= 9/16
Solve for x: sqrt(x)+1=sqrt(9x-2)
The solution is x= 9/16