What is the answer to sqrt(x)+7=6+4sqrt(x) ?

The answer to sqrt(x)+7=6+4sqrt(x) is x= 1/9

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sqrt(x)+7=6+4sqrt(x)

x + 7 = 6 + 4 x

x = \frac{1}{9}

Decimal Notation

x = 0.11111 \dots

Solution steps

x + 7 = 6 + 4 x

Move

7

to the right side

x = 4 x - 1

Move

4 x

to the left side

- 3 x = - 1

Divide both sides by

- 3

x = \frac{1}{3}

Square both sides:

x = \frac{1}{9}

x = \frac{1}{9}

Verify Solutions:

x = \frac{1}{9}

True

The solution is

x = \frac{1}{9}

2 x = 4 x^{2} - 5 x + 50

3 (x + 2)^{\frac{3}{2}} = 24

3 t + 7 = - 5

2 x^{- 1} - 5 x^{- \frac{1}{2}} + 3 = 0

What is the answer to sqrt(x)+7=6+4sqrt(x) ?
The answer to sqrt(x)+7=6+4sqrt(x) is x= 1/9
Solve for x: sqrt(x)+7=6+4sqrt(x)
The solution is x= 1/9