What is the answer to 2=sqrt(3x-2)-sqrt(10-x) ?

The answer to 2=sqrt(3x-2)-sqrt(10-x) is x=6

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2=sqrt(3x-2)-sqrt(10-x)

2 = 3 x - 2 - 10 - x

x = 6

Solution steps

2 = 3 x - 2 - 10 - x

Remove square roots

160 - 16 x = 16 x^{2} - 128 x + 256

Solve

160 - 16 x = 16 x^{2} - 128 x + 256 : x = 6, x = 1

x = 6, x = 1

Verify Solutions:

x = 6

True

, x = 1

False

The solution is

x = 6

x + 2 - x = 6

1 - 3 x = x + 3

2 x - 5 x = - 2 x

x + 1 = x - 5

2 x + 3 = x

What is the answer to 2=sqrt(3x-2)-sqrt(10-x) ?
The answer to 2=sqrt(3x-2)-sqrt(10-x) is x=6
Solve for x: 2=sqrt(3x-2)-sqrt(10-x)
The solution is x=6