What is the answer to sqrt(x^2)-sqrt(x)=6 ?

The answer to sqrt(x^2)-sqrt(x)=6 is x=9

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sqrt(x^2)-sqrt(x)=6

x^{2} - x = 6

x = 9

Solution steps

x^{2} - x = 6

Remove square roots

x^{4} - 2 x^{3} - 71 x^{2} + 72 x + 1296 = 144 x

Solve

x^{4} - 2 x^{3} - 71 x^{2} + 72 x + 1296 = 144 x : x = 4, x = 9

x = 4, x = 9

Verify Solutions:

x = 4

False

, x = 9

True

The solution is

x = 9

2 x + 2 = 3 + 2 x - 1

10 = 5 - x^{2} + 10

2 x + x + 13 = 10

x - 5 x - 24 = 0

What is the answer to sqrt(x^2)-sqrt(x)=6 ?
The answer to sqrt(x^2)-sqrt(x)=6 is x=9
Solve for x: sqrt(x^2)-sqrt(x)=6
The solution is x=9