What is the answer to sqrt(x-6)=sqrt(x)-sqrt(3) ?

The answer to sqrt(x-6)=sqrt(x)-sqrt(3) is x= 27/4

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sqrt(x-6)=sqrt(x)-sqrt(3)

x - 6 = x - 3

x = \frac{27}{4}

Decimal Notation

x = 6.75

Solution steps

x - 6 = x - 3

Remove square roots

81 = 12 x

Solve

81 = 12 x : x = \frac{27}{4}

x = \frac{27}{4}

Verify Solutions:

x = \frac{27}{4}

True

The solution is

x = \frac{27}{4}

3 x - 2 + x - 1 - 3 = 0

0 = 7 x + 36 - 5 x + 16 - 2

x + 5 - 3 = x

32 - 7 x = x - 6

18 - 7 x - x = 0

What is the answer to sqrt(x-6)=sqrt(x)-sqrt(3) ?
The answer to sqrt(x-6)=sqrt(x)-sqrt(3) is x= 27/4
Solve for x: sqrt(x-6)=sqrt(x)-sqrt(3)
The solution is x= 27/4