What is the answer to sqrt(3x+4)-sqrt(2x-4)=2 ?

The answer to sqrt(3x+4)-sqrt(2x-4)=2 is x=20,x=4

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sqrt(3x+4)-sqrt(2x-4)=2

3 x + 4 - 2 x - 4 = 2

x = 20, x = 4

Solution steps

3 x + 4 - 2 x - 4 = 2

Remove square roots

x^{2} + 8 x + 16 = 32 x - 64

Solve

x^{2} + 8 x + 16 = 32 x - 64 : x = 20, x = 4

x = 20, x = 4

Verify Solutions:

x = 20

True

, x = 4

True

The solutions are

x = 20, x = 4

x^{2} - 3 x = x + 3

21 - 4 x = - x

x^{\frac{2}{3}} = 49

(x - 2)^{\frac{2}{3}} + 5 = 9

x^{3} - 2 x = x

What is the answer to sqrt(3x+4)-sqrt(2x-4)=2 ?
The answer to sqrt(3x+4)-sqrt(2x-4)=2 is x=20,x=4
Solve for x: sqrt(3x+4)-sqrt(2x-4)=2
The solution is x=20,x=4