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

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

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

3 x - 2 + x - 1 = 3

x = 2

Solution steps

3 x - 2 + x - 1 = 3

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

\frac{x ^{2}}{3 - 2 x ^{\frac{1}{3}} - 3} = 0

x = 100

x \cdot (x - 6) = 1

3 \cdot x^{2} - 2 2 x - 23 = 0

3 x = 23 + x

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