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

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

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

x (x + 1) = 6

x = 4

Solution steps

x (x + 1) = 6

Expand

x (x + 1) : x + x

x + x = 6

Remove square roots

x = 36 - 12 x + x^{2}

Solve

x = 36 - 12 x + x^{2} : x = 9, x = 4

x = 9, x = 4

Verify Solutions:

x = 9

False

, x = 4

True

The solution is

x = 4

7 + x = x^{2} + 1

y + y + 8 = 2 y

2 x + 19 = x + 8

3 + x + 2 x - 1 = 3

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

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