What is the answer to sqrt(x+7)-sqrt(3x-2)=1 ?

The answer to sqrt(x+7)-sqrt(3x-2)=1 is x=2

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sqrt(x+7)-sqrt(3x-2)=1

x + 7 - 3 x - 2 = 1

x = 2

Solution steps

x + 7 - 3 x - 2 = 1

Remove square roots

4 x^{2} - 32 x + 64 = 12 x - 8

Solve

4 x^{2} - 32 x + 64 = 12 x - 8 : x = 9, x = 2

x = 9, x = 2

Verify Solutions:

x = 9

False

, x = 2

True

The solution is

x = 2

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

3 x - 4 = 12

\frac{( 2 x + 1 )}{( 4 x ^{2} - 5 )} = - 1

2 x - 1 = 3

2 x - 2 = \frac{( x + 7 )}{4}

What is the answer to sqrt(x+7)-sqrt(3x-2)=1 ?
The answer to sqrt(x+7)-sqrt(3x-2)=1 is x=2
Solve for x: sqrt(x+7)-sqrt(3x-2)=1
The solution is x=2