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

The answer to sqrt(6-x)=1+sqrt(x-1) is x=2

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

6 - x = 1 + x - 1

x = 2

Solution steps

6 - x = 1 + x - 1

Remove square roots

36 - 24 x + 4 x^{2} = 4 x - 4

Solve

36 - 24 x + 4 x^{2} = 4 x - 4 : x = 5, x = 2

x = 5, x = 2

Verify Solutions:

x = 5

False

, x = 2

True

The solution is

x = 2

\frac{1}{x ^{\frac{6}{7}}} - 1 = 0

3 x + 3 x + 1 = x

- x + 2 x - 1 = 0

2 x + 8 + x + 5 = 7

2 = 2 π \cdot \frac{x}{32}

What is the answer to sqrt(6-x)=1+sqrt(x-1) ?
The answer to sqrt(6-x)=1+sqrt(x-1) is x=2
Solve for x: sqrt(6-x)=1+sqrt(x-1)
The solution is x=2