What is the answer to sqrt(4)x+4sqrt(x)=18 ?

The answer to sqrt(4)x+4sqrt(x)=18 is x=11-2sqrt(10)

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sqrt(4)x+4sqrt(x)=18

4 x + 4 x = 18

x = 11 - 210

Decimal Notation

x = 4.67544 \dots

Solution steps

4 x + 4 x = 18

Expand

4 x + 4 x : 2 x + 4 x

2 x + 4 x = 18

Remove square roots

16 x = 324 - 72 x + 4 x^{2}

Solve

16 x = 324 - 72 x + 4 x^{2} : x = 11 + 210, x = 11 - 210

x = 11 + 210, x = 11 - 210

Verify Solutions:

x = 11 + 210

False

, x = 11 - 210

True

The solution is

x = 11 - 210

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

3 + 5 x - 6 = 2 x

2 2 x - 4 = 8

What is the answer to sqrt(4)x+4sqrt(x)=18 ?
The answer to sqrt(4)x+4sqrt(x)=18 is x=11-2sqrt(10)
Solve for x: sqrt(4)x+4sqrt(x)=18
The solution is x=11-2sqrt(10)