What is the answer to sqrt(4x)+1=sqrt(x+5) ?

The answer to sqrt(4x)+1=sqrt(x+5) is x= 4/9

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sqrt(4x)+1=sqrt(x+5)

4 x + 1 = x + 5

x = \frac{4}{9}

Decimal Notation

x = 0.44444 \dots

Solution steps

4 x + 1 = x + 5

Remove square roots

16 x = 9 x^{2} - 24 x + 16

Solve

16 x = 9 x^{2} - 24 x + 16 : x = 4, x = \frac{4}{9}

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

Verify Solutions:

x = 4

False

, x = \frac{4}{9}

True

The solution is

x = \frac{4}{9}

4 = x + 4

3 x - 11 = x - 3

\frac{2}{3} x^{\frac{- 1}{3}} = 0

x, y^{2} = - x

2 x + \frac{1}{2 x ^{2}} = 0

What is the answer to sqrt(4x)+1=sqrt(x+5) ?
The answer to sqrt(4x)+1=sqrt(x+5) is x= 4/9
Solve for x: sqrt(4x)+1=sqrt(x+5)
The solution is x= 4/9