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

The answer to sqrt(3x-2)-sqrt(x-2)=2 is x=6,x=2

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

3 x - 2 - x - 2 = 2

x = 6, x = 2

Solution steps

3 x - 2 - x - 2 = 2

Remove square roots

4 x^{2} - 16 x + 16 = 16 x - 32

Solve

4 x^{2} - 16 x + 16 = 16 x - 32 : x = 6, x = 2

x = 6, x = 2

Verify Solutions:

x = 6

True

, x = 2

True

The solutions are

x = 6, x = 2

5 x + 66 + 2 = 8

3 x + 22 + 12 = 19

4 x + 17 - 7 = - 4

52 - 6 x = x - 6

x^{2} - a^{2}

What is the answer to sqrt(3x-2)-sqrt(x-2)=2 ?
The answer to sqrt(3x-2)-sqrt(x-2)=2 is x=6,x=2
Solve for x: sqrt(3x-2)-sqrt(x-2)=2
The solution is x=6,x=2