What is the answer to sqrt((3x-2))+sqrt(x-1)-3=0 ?

The answer to sqrt((3x-2))+sqrt(x-1)-3=0 is x=2

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sqrt((3x-2))+sqrt(x-1)-3=0

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

x = 2

Solution steps

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

Remove square roots

4 x^{2} - 40 x + 100 = 36 x - 36

Solve

4 x^{2} - 40 x + 100 = 36 x - 36 : x = 17, x = 2

x = 17, x = 2

Verify Solutions:

x = 17

False

, x = 2

True

The solution is

x = 2

x = 2 3 x - 9

x - 2 = 0

x + x = 2

x + x + 2 = 3

x + 2 - 4 x + 13 = 0

What is the answer to sqrt((3x-2))+sqrt(x-1)-3=0 ?
The answer to sqrt((3x-2))+sqrt(x-1)-3=0 is x=2
Solve for x: sqrt((3x-2))+sqrt(x-1)-3=0
The solution is x=2